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gnal x(r)=cos(27-750+4)+2cos(27-20001-3)+3cos(2π·2500t) 1. The si is sampled by an ideal A/D converter at sampling frequency =...
onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the output of the Ideal D-to-C converter is equal to the input x(t) i.e. ()2 cos (2m(50)t +7)+cos(2(150)) b. (5) If the sampling rate is fs = 250 samples/sec, determine the discrete-time...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
. A continuous-time signal is given by, x(r) = cos(1600m) +5cos(8000m)+ 3cos(2300m) +2cos(1400π a) Choose sampling frequeney (S,) as twice the Nyquist rate to find x(n) and its period, N. magnitudes, X(k)for one period of x(n. in part-b to design a non-recursive (FIR) digital filter b) For the xen) ound in part-a, sketch the DFT o) usin the hamwline frergueney found in parth to desiegn a non-recursive (FIR) digital fiter using windowing functions such that the three smaller frequencies are...
3. (50 points] Consider the signal (t= cos(27 (100)+]: 1) Let's take samples of x(t) at a sampling rate fs = 180 Hz. Sketch the spectrum X (f) of the sampled signal x (t). Properly label x-axis and y-axis. 2) Now suppose we will use an ideal lowpass filter of gain 1/fs with a cutoff frequency 90 Hz for the sampled signal xs(t). What is the output of the filter x,(t)? 3) Now let's take samples of x(t) at sampling...