(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of...
A digital filter has the transfer function H(z) = ? -0.2 (2) Z(z - 0.7) a. Is the system stable? b. Find the output y[n] for the filter if the input is x[n] = (0.9)"u[n].
Digital Signal Processing QUESTION SIX A digital filter system has a transfer function given by 1-0.4z-1 T(z) = 1 + 0.2z-2 a) Draw the z-domain version of the block diagram for the filter 110) Derive an expression for the output sequence yin], in terms of the input b) sequence, xla], and delayed input and output sequences 10 151 e) Find the unit sample response for the filter (first three terms only) QUESTION SIX A digital filter system has a transfer...
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog filter (10marks) Skecth the block diagram of transfer function (5 marks) Plot the magnitude response of the filters. (5marks) 1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c...
Please show all the steps clearly. 5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2 0. Find the response of To such a system we apply an input of the type x [n] the system in n domain using MATLAB for obtaining the partial fraction expansion and then manually inverting the output using z-transform tables. 5. The transfer function of a system is given by Z Н(2) (z2-0.8z+ 0.15) -0.4n for n2...
Thanks Question 3 a) A linear-phase, Finite Impulse Response (FIR) digital filter with the transfer function H() shown as follow is desired: (4 marks) (3 marks) iii) Based on (a)(ii), determine the truncated impulse response ha(n) for a 5-tap FIR filter by i) Sketch the spectrum of the transfer function H (w). ii) Determine the impulse response h(n) from H() using rectangular window method. (6 marks) iv) Calculate all the filter coefficient of ha (n). (5 marks) Question 3 a)...
5.38 a,b,c aliasing occur? (Justify your answer.) 5.38. An ideal lowpass digital filter has the frequency function H(2) given by H(n) (a) Determine the unit pulse response h[n] of the filter. (b) Compute the output response yln] of the filter when the input [n] is given by (i) x[n] = cos(m/8), n = 0, ±1, ±2, . . . (ii) x[n] = cos(3rm4) + cos(πη/16), n = 0, ±1, ±2,… (iii) x[n]-sinc(n/2), n-0, ±1,±2 (iv) x[n] = sine(n/4), n =...
Part 1 (Calculation): The Z-transform (ZT) converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It is the equivalent of the Laplace transform for discrete systems. The one-sided ZT, used for causal signals and systems, is defined as follows: Consider the digital system (filter) described by the input/output difference equation and z-domain transfer function Hz: yn-0.88 yn-1=0.52 xn-0.4 xn-1 Hzz=Y(z)X(z)=0.52-0.4 z-11-0.88 z-1=0.52 z-0.4z-0.88 Assuming a unit step function input, i.e.,...
Give the transfer function of the digital filter with impulse response; h(n) = 0.7n u(n) + 0.7(n-1) u(n-1)
The transfer function of a system is given by H(z)= Z/((z^2-0.8z+ 0.15)). To such a system we apply an input of the type x[n]=e^(-0.4n) "for n"≥0 . Find the response of the system in n domain using MATLAB for obtaining the partial fraction expansion and then manually inverting the output using z-transform tables.
The transfer function of a digital filter is, H(z) - ao t a1z-1+ .avz-M (a) [5 points] For a Finite Impulse Response (FIR) filter, where ao is non-zero, which of the following must be true? (circle all that apply) i. There will be at least one non-zero value within b bM ii. There will be at least one non-zero value within a1 aN a0 fori 1,2,..N iv. bi = 0 for i = 1,2, M v.bo=1