Question 5:
To perform N point FFT, N= 2^m ==> m=log(N)/log(2)
N=2029
m=log(N)/log(2) = 10.9866
m must be an integer. choose m=11
Hence N should be 2^m = 2^11= 2048
Answer: 2048= 2^11
ОО 0 1 0-1 Question 5 1 pts You're working with a discrete-time signal x[k]that has...
Faddedrengen: 2041 Padded length: 2029 = 1 - 2029 Padded length: 2048 = 211 Padded length: 2030 = 2.5.7.29 Question 6 2 pts Jan A new signal y[k]is formed as Consider the discrete-time signal z[k]with discrete-time Fourier Transform X(22) y[k] = z[k - 2]. The discrete-time Fourier Transform of y[k]is equal to Y(n) = 1tein O 1tern 1 e-20+e-in 1tein Not enough information to answer
1 pts Question 2 Your work with decrete me signal that has 10 samples, and discrete time signal h[lejthat has 5 samples. You want to coryte the coolution of these two signals f.e. [4] [k]) by taking the FFT of each signal, multiplying in the frequency domain and then taking an IAFT. To do this, you must first zero-pad the signals to ensure linear (and not circular) convolution is performed. After you zero pad each signal with the minimum required...
top one Final Respondus LockDown Browser Webcam Que 1. ( 0) The ROC for this siis •> 0.5 . 0.5 < 1<2 Question 2 1 Su're working with discrete-time signal z[k]that has 10 samples, and discrete-time signal h[k]that has 5 samples. You want mpute the convolution of these two signals (i.e. 2[k] * h[k]) by taking the FFT of each signal, multiplying in the frequency ain, and then taking an IFFT. To do this, you must first zero-pad the signals...
12. Calculate the DFT of the following discrete-time signal with: x[0] = 1, x[1] = 2, x[2] =-3, x[3] = 0. The value of the DFT required for this question is X(1). (c) 4-j2, (d) not (a), not (b) and not (e). (6) 2-4, (a) 2 + j3, 13. Determine the finite length sequence, xfn] from the DFT sequence X[k]={10,15, 40,-5). Only the discrete-time signal value at x[0] is required for this question. (a) 6+j4 (b) 15, (c) 4+j4, (d)...
12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples from X(eu): g[n] CH 0 for n<0and n > 4 = x(e,2 ) for k = 0, 1, 2,3,4 = Find g(0] and gl1]. 12. Let X(e") be the DTFT of the discrete-time signal z[n] = (0.5)"u[n]. Let gin] be the length-5 sequence whose 5-point DFT, Gk], is made from uniform samples...
ASSIGNMENT 2 (C4,_CO2, PO1) 1. Calculate DFT of the following discrete-time sequence, x(n) using DFT technique x(n) = {72,-56, 159) (C4, CO2,PO1) 2. Calculate the 8-point DFT of the following discrete-time sequence, x(n) using Decimation In Time Fast Fourier transform (DIT-FFT) algorithm. Show the sketch and label all parameters on a signal flow graph/butterfly diagram structure in your answer. (1-3<ns3 x(n) = 0 elsewhere
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
Determine the Discrete Time Fourier Transform (DTFT) of the following discrete-time signal. x[n]=n0.1" u(n) 1-0 1e112 0970.1e* 5) -0.12- e in 1-0.1e) C), ei (1+0.2e-in d) =-*+0.2e-10 e / +0.2012
True False Question 9 Consider the discrete-time signal a[k] with Z-transform, 2+3z-1 X(z) = and ROC /z/ > . Use long-division to find the signal value x [2]. You find that z[2] = O-1 None of the listed answers 0.5 2.
Find the discrete time Fourier series of the following periodic signal x[n] = 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3... Verify using Parseval's Theorem