Give the transfer function of the digital filter with impulse response;
h(n) = 0.7n u(n) + 0.7(n-1) u(n-1)
Give the transfer function of the digital filter with impulse response; h(n) = 0.7n u(n) +...
The impulse response of a filter is h[n] - (-0.75)"(u[n-1) -un-4]). What is the transfer function of the filter?
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)...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
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].
Question #4: (a) Consider a digital filter with impulse response h(n) with length M-3 while the input x(n) has length V-7, as follows: The total number of blocks B x(n) = {1,2,3,1,2,1,3), h(n) = {1,2,1) B> V+M 1 L-M+ 1
6. Given a long, causal impulse response h(n), we want to develop an IIR filter transfer function H(z) where -2 -1 а + bz' +cz* H(z) --2 1+dz ez (a) Give a difference equation that generates h(n) using the coefficients of H(z) (b) Using the proper values of n in part (a), give the equations for h(0), h(1), and h(2) Solving the equation for h(0), give the value for one of the coefficients in H(z) (c) Give as many additional...
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
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
(c) A digital filter has transfer function 1 Н(2) z 1/2 Evaluate the response function of the filter, Y(z)= X(z)H(z), for the sequence (i 2* x(n)a. (Use the geometric series 1-c k 0 (ii By using partial fractions, determine the response of the filter, y(n), to the input x(п) %— а". (iii What is the response to the input data x(n) (1)"? [Note: the Z- transform of a sequence x(n) is defined as X(z) x(n)z. The n-0 inverse Z- transform...
1. An LTI digital system with impulse response h[n] = 2(1/4)"u[n] produces an output y[n] = (-3)"u[n]. Determine the corresponding input x[n] using Z-transform. (30 points)