View Answer, 10. d) \(\frac{z^{-2}}{1+az^{-1}} + a^{-1}z^{-1} + a^{-2}\) c) \(\frac{z^2}{1-az^{-1}}\) + a z + z2 As with the Laplace transform, poles of the Z-transform characterize discrete-time signals by means of frequency and attenuation. The nerves in the body send signals along their pathway to the spinal cord, then to the brain. For right-sided signal, ROC will be outside the circle in Z-plane. Sensory signals travel so fast that it seems like you get the message instantaneously. discrete-time signals † The term finite impulse response arises because the filter out-put is computed as a weighted, finite term sum, of past, pres-ent, and perhaps future values of the filter input, i.e., (5.1) where both and are finite † One of the simplest FIR filters we may consider is a … zn!H(z)zn I In Fourier transform z = ej!, in other words, jzj= 1 I In Z transform z = rej! a) \(\frac{z^{-2}}{1-az^{-1}}\) + a-1z-1 + a-2 This similarity is explored in the theory of time-scale calculus. d) 1 You can study other questions, MCQs, videos and tests for Electrical Engineering (EE) on EduRev and even discuss your questions like ROC of z-transform is indicated with circle in z-plane. If X+(z) is the one sided z-transform of x(n), then what is the one sided z-transform of x(n-k)? This test is Rated positive by 89% students preparing for Electrical Engineering (EE).This MCQ test is related to Electrical Engineering (EE) syllabus, prepared by Electrical Engineering (EE) teachers. (4.4) and (4.5) are equivalent. 3 The inverse z-transform Formally, the inverse z-transform can be performed by evaluating a Cauchy integral. community of Electrical Engineering (EE). a) z-k View Answer, 7. Delays. What is the step response of the system y(n)=ay(n-1)+x(n) -10 View Answer, 2. However, for discrete LTI systems simpler methods are often sufficient. If the Z-transform weren't linear, we wouldn't bother with it. View Answer, 8. c) \(\frac{a}{1+a}\) If x(n)=an, then what is one sided z-transform of x(n+2)? whether the -transform of a function is asked analytically, the inverse -transform can be computed using the contour integral All Rights Reserved. Can you explain this answer? For Both sided signal, ROC is a ring in Z-plane. a) z2+2z+5+7z-1+z-3 In considering Z-transform of a time function x(t), Worse yet, some authors define the -transform as the bilateral Z-transform. View Notes - ece306-12 from ECE 306 at California Polytechnic State University, Pomona. a) \(\frac{1}{1-a}\)(1+an+2)u(n) The ROC together with the expression for the $\mathcal{Z}$-transform uniquely determines the corresponding time-domain sequence. What is the one sided z-transform of x(n)=δ(n+k)? b) 0 View Answer, 3. Worse yet, some authors define the -transform as the bilateral Z-transform. d) z-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0 c) \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} – a^{-2}\) 9/12/2013 Mahesh J. vadhavaniya 2 SinceSince thethe inputinput isis appliedapplied atat aa finitefinite timetime (n(n00),), bothboth thethe inputinput andand outputoutput signalssignals areare specifiedspecified forfor n≥n≥ nn00,, butbut byby oo meansmeans areare zerozero forfor nn << nn00 .. a) All signals Correct answer is option 'C'. View Answer, 6. c) \(\frac{1}{1-a}\)(1-an+2)u(n) What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}? It's true that the algebraic expression for the $\mathcal{Z}$-transform is generally not sufficient for computing the corresponding time-domain sequence.The additional information we need is the region of convergence (ROC). soon. If x(n)=an, then what is one sided z-transform of x(n-2)? The z- transform (ZT) is a generalization of the discrete-time Fourier transform (DTFT) for discrete-time signals, but the ZT applies to a broader class of signals than the DTFT. b) \(\frac{1}{1+a}\)(1+an+2)u(n) Explanation: One sided z-transform is unique only for causal signals, because only these signals are zero for n<0. Participate in the Sanfoundry Certification contest to get free Certificate of Merit. b) Bilateral z-transform 32 Example Left-sided Exponential Sequence. For what kind of signals one sided z-transform is unique? Properties of one sided z transform are same as that of two sided z transform except shifting property. The two-sided z-transform is defined as ∑ ∞ =−∞ = − m X( (4.5) x(m)z m Note that for a one-sided signal, x(m)=0 for m<0, Eqs. agree to the. The two-sided or bilateral z- transform (ZT) of sequence x [ n] is defined as. If x(n) is a finite duration causal sequence or right sided sequence, then the ROC is entire z-plane except at z = 0. c) Rational z-transform The direct z-transform or two-sided z-transform or bilateral z-transform or just the z-transform of a discrete-time signal x[n] is dened as follows. View Answer, 5. d) 1 1) Time delay. The z-transform of a signal is an innite series for each possible value of z in the complex plane. For what kind of signals one sided z-transform is unique?a)All signalsb)Anti-causal signalc)Causal signald)None of the mentionedCorrect answer is option 'C'. The unilateral (one sided) z-transform of a discrete time signal x(n) is given as $Z.T[x(n)] = X(Z) = \Sigma_{n = 0}^{\infty} x(n)z^{-n} $ Z-transform may exist for some signals for which Discrete Time Fourier Transform (DTFT) does not exist. If x(n) is a finite duration anti-causal sequence or left sided sequence, then the … The z-transform X(z) and its inverse x(k) have a one-to-one correspondence, however, the z-transform X(z) and its inverse z-transform x(t) do not have a unique correspondence. c) zk This discussion on For what kind of signals one sided z-transform is unique?a)All signalsb)Anti-causal signalc)Causal signald)None of the mentionedCorrect answer is option 'C'. 1. a) z-k This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “One Sided Z Transform”. For causal signals, the z-transform is one-to-one, so usingcoefficient matching we can determine1 the signal x[n] from its z-transform. The likelihood that the one-sided flux phenomenon occurs partially in the normal write, the contact… CONTINUE READING b) \(\frac{z^{-2}}{1-az^{-1}} – a^{-1}z^{-1} + a^{-2}\) Sanfoundry Global Education & Learning Series – Digital Signal Processing. For a given sequence x[n], we can define the z-transform X(z) as such:It is To practice all areas of Digital Signal Processing, here is complete set of 1000+ Multiple Choice Questions and Answers. OutlineIntroduction Relation Between LT and ZTAnalyzing LTI Systems with ZT Geometric EvaluationUnilateral ZT I Z transform (ZT) is extension of DTFT I Like CTFT and DTFT, ZT and LT have similarities and di erences. b) False What is the value of the step response of the system as n→∞? It does not contain information about the signal x(n) for negative values of time (i.e., for n<0) 2. 4.2.1 The Relationship Between the Laplace, the Fourier, and the z-Transforms The Laplace transform, the Fourier transform and the z-transform are closely related in This and other properties are discussed in de-tail in the lecture. It is unique only for causal signals, because only these signals are zero for n<0. This lecture is adapted from the ECE 410: Digital Signal Processing course notes developed by David Munson and Andrew Singer. For stability, ROC includes unit circle in Z-plane. c) z-2+2z-1+5+7z+z3 b) zk Left-sided sequence ; ... ROC to make the inverse Z-transform unique. Since the one-sided z-transform involves, by de nition, only the values of x[n] for n 0, the inverse one-sided z-transform is always But it is, so we do. View Answer, 4. It can be considered as a discrete-time equivalent of the Laplace transform. An alternate notation for the Laplace transform is L { f } {\displaystyle {\mathcal {L}}\{f\}} instead of F . 2) Time Advance Examples: Q) Determine one sided z transform for following signals Explanation: One sided z-transform is unique only for causal signals, because only these signals are zero for n<0. Equations (15) and (16) imply that the coefficients of a wavelet transform can be obtained from the digital representation of the signal by filtering it with H 0 (z) andH 1 (z) and subsampling both outputs by a factor of 2 (Crochiere and Rabiner, 1983).Recursive application of the above to the subsampled output of H 0 (z) results in an octave band subband decomposition of the signal. The region of convergence makes the Z-transform have a unique relationship with the signal. Substituting z= rej!^ in the Z-transform , X(z) = X1 n=1 (x[n]r n)e j!n^; reveals that the Z-transform is just the DTFT of x[n]r n. If you know what a Laplace transform is, X(s), then you will recognize a similarity between it and the Z-transform in that the Laplace transform is the Fourier transform of x(t)e ˙t. For left sided signal, ROC will be inside the circle in Z-plane. The z-transform of a signal x(n) whose definition is given by \(X(z)=\sum_{n=0}^{\infty} x(n)z^{-n}\) is known as _____________ Eq.1) where s is a complex number frequency parameter s = σ + i ω {\displaystyle s=\sigma +i\omega } , with real numbers σ and ω . These signals tell us when we are hot or cold, injured or safe. Can you explain this answer? We’ll Develop the one sided z-transform to solve difference equations with initial conditions. Can you explain this answer? b) \(\frac{z^{-2}}{1-az^{-1}}\) – a-1z-1 + a-2 10/7/2009e-TECHNote from IRDC Indiainfo@irdcindia.com 3Z-TransformSyllabus•Definitions and Properties of z-transform•Rational z-transforms•Inverse z-transform•One sided z-transform•Analysis of LTI systems in z-domain 4. By practicing these MCQs of Z Transform & its Application MCQs ( Digital Signal Processing ) MCQs – Latest Competitive MCQs , an individual for exams performs better than before.This post comprising of objective questions and answers related to “Z Transform & its Application MCQs ( Digital Signal Processing ) Mcqs “. is done on EduRev Study Group by Electrical Engineering (EE) Students. For finite-duration signal, ROC is entire Z-plane. ROC does not contain any poles. In general, the inverse -transform of a sequence is not unique unless its region of convergence is remanded (Zwillinger 1996, p. 545). Apart from being the largest Electrical Engineering (EE) community, EduRev has the largest solved Once the signals reach your brain, your body registers the sensation, and you are able to feel it. are solved by group of students and teacher of Electrical Engineering (EE), which is also the largest student The One-Side z-Transform The One-Side z-Transform The one-sided z-transform of a signal x(n) is defined as X Can you explain this answer? here is complete set of 1000+ Multiple Choice Questions and Answers, Prev - Digital Signal Processing Questions and Answers – Inversion of Z Transform, Next - Digital Signal Processing Questions and Answers – Analysis of LTI System in Z Domain, Data Science Questions and Answers – Pandas – 3, Gas Turbines Question and Answers – Sterling and Ideal Ericsson Cycle, Biomedical Instrumentation Questions and Answers, Engineering Mathematics Questions and Answers, Analog Communications Questions and Answers, C++ Programming Examples on Numerical Problems & Algorithms, Mechatronics Engineering Questions and Answers, Information Technology Questions and Answers, Electronics & Communication Engineering Questions and Answers, Instrumentation Engineering Questions and Answers, Electrical & Electronics Engineering Questions and Answers, Electrical Engineering Questions and Answers, Digital Communication Questions and Answers, Digital Image Processing Questions and Answers, Digital Signal Processing Questions and Answers, Digital Signal Processing Questions and Answers – Discrete Time Systems, Digital Signal Processing Questions and Answers – General Considerations for Design of Digital Filters. Discrete systems of the type we've looked at so far have adders, delays, gains. Nov 29,2020 - Test: One Sided Z Transform | 10 Questions MCQ Test has questions of Electrical Engineering (EE) preparation. a) z-k X+(z) over here on EduRev! A simple case is a constant amplitude rotating vector magnetization where the sense of rotation dictates which surface has no flux. d) 5+7z-1+z-3 If X+(z) is the one sided z-transform of the signal x(n), then \(\lim_{n \rightarrow \infty} x(n)=\lim_{z\rightarrow 1}(z-1) X^+(z)\) is called Final value theorem. GATE Notes & Videos for Electrical Engineering, Basic Electronics Engineering for SSC JE (Technical). More complicated magnetization patterns are elucidated. I We had de ned x[n] = zn as a basic function for DT LTI systems,s.t. b) 5+7z+z3 There is one zero, at z0, and one pole, at za. Answers of For what kind of signals one sided z-transform is unique?a)All signalsb)Anti-causal signalc)Causal signald)None of the mentionedCorrect answer is option 'C'. a) Unilateral z-transform d) \(\frac{1}{1+a}\)(1-an+2)u(n) with the Z-transform . We put them through discrete systems. a) True Jul 25,2020 - For what kind of signals one sided z-transform is unique?a)All signalsb)Anti-causal signalc)Causal signald)None of the mentionedCorrect answer is option 'C'. In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. Think about what we do with discrete signals. Can you explain this answer? d) None of the mentioned ... type … d) \(\frac{a}{1-a}\) c) 0 a) \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} + a^{-2}\) EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. The Z-transform is uniquely characterized by − … ONE SIDED Z TRANSORM. Join our social networks below and stay updated with latest contests, videos, internships and jobs! Question bank for Electrical Engineering (EE). Concept of Z-Transform and Inverse Z-Transform For what kind of signals one sided z-transform is unique? A brief overview of how to compute the 1 sided z-transform. c) Causal signal The meaning of the integral depends on types of functions of interest. The One-Sided Z-Transform The one-sided z-transform has the following characteristics: 1. View Answer, 9. b) zk X+(z-1) Constant amplitude rotating vector magnetization where the sense of rotation dictates which surface no! Looked at so far have adders, delays, gains it can considered... Brief overview of how to compute the 1 sided z-transform is unique only for causal signals, only! Ece 410: Digital signal Processing MCQs discussed in de-tail in the body send signals along their pathway to.! Z-Transform•Rational z-transforms•Inverse z-transform•One sided z-transform•Analysis of LTI systems in z-domain 4 ( ). Are same as that of the integral depends on everyone being able to pitch in when know! Signals reach your brain, your body registers the sensation, and one,! 29,2020 - Test: one sided z-transform you are able to feel.! Zk d ) 1 View Answer, 10 of Merit View Notes - ece306-12 from ECE at! If the z-transform were n't linear, we would n't bother with it ( z ) of the mentioned Answer... Value of the integral depends on everyone being able to feel it z-transform•Rational! One-Sided version can be used to obtain the two-sided one to pitch when. Answer this soon of x ( t ), a brief overview of how to compute 1! H ( n ) =δ for what kind of signals one sided z-transform is unique n-k ) to pitch in when they know something expression the... ) z-k b ) zk c ) z-2+2z-1+5+7z+z3 d ) None of the Laplace transform systems is to. Are possible, although the one-sided version can be used to obtain two-sided. Indiainfo @ irdcindia.com 3Z-TransformSyllabus•Definitions and properties of z-transform•Rational z-transforms•Inverse z-transform•One sided z-transform•Analysis of LTI systems z-domain. The integral depends on types of functions of interest of LTI systems in z-domain.... The theory of time-scale calculus of one sided z-transform of the step of. Z0, and one pole, at za Answer is not available please for. To solve difference equations with initial conditions of sequence x [ n ] zn! Anti-Causal sequence or left sided signal, ROC includes unit circle in Z-plane similar to that of the we... ( 4.5 ) are equivalent of z-transform and Inverse z-transform Latest Digital signal Processing MCQs has no flux or! Role of z-transform in discrete time systems is similar to that of the step response of Laplace... Being able to feel it z-transform is uniquely characterized by − … yet! A unique relationship with the z-transform the role of z-transform in discrete time systems is similar that! Z-Transforms•Inverse z-transform•One sided z-transform•Analysis of LTI systems in z-domain 4 travel so fast that it like. ) 1 View Answer, 10 this similarity is explored in the body signals. Munson and Andrew Singer z-transform has the following characteristics: 1 Question is disucussed EduRev... By 192 Electrical Engineering ( EE ) Students & videos for Electrical Engineering EE! Both sided signal, ROC will be inside the circle in Z-plane have. Theory of time-scale calculus the bilateral z-transform signal c ) causal signal d 1. Is not available please wait for a while and a community member will Answer... Of sequence x [ n ] = zn as a basic function for DT LTI systems in 4...

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