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/lay Figure 9.1: Discrete-time sinusoid sin 0.11 n and its Fourier spectra. x[n] = sin Olan=...
5. (20points) What is the discrete time Fourier series of 2T(n-2) x = 10 sin with Mo = 12 (time period) 5. (20points) What is the discrete time Fourier series of 2T(n-2) x = 10 sin with Mo = 12 (time period)
3. Find the discrete-time Fourier series (DTFS) and the corresponding spectra D, and ZD, for the following signal: x[n] q -o- Q a" for 20 Ri Q -Q-Q mi - q Q
1. Find the discrete-time Fourier series (DTFS) and sketch their spectra D. and ZD, for 05rs N. -1 for the following periodic signal: x[n] = 4 cos 2.41en+ 2 sin 3.2an 2. If x[n] = [0, 1, -2, 3, 4, 5, -6], determine No and 120 for this sequence.
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18 Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
solve ASAP Question 6. Determine the discrete-time Fourier series for the x[n] shown in the following figure. 12 12 15 0 -9-6
Solution required in MATLAB 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2[n] with the fundamental period N ralla-sin(2nn/ İ0) + sin(2m, 2 ) + sin(2nn/30) for 0 < n < N-1 Find the fundamental frequency Ω0-2, N, with the fundamental period N. (b) Generate a periodic signal h2[n] with the fundamental period N haln] = (1/2)", for 0 < n < N-1 (e) Using the com ftuction n Matab, compute the compvolution (d) Using the...
10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1. Sketch the Fourier transform Xr(jw) of x[n] for T-to. 2. Can x(t) be recovered for T? How? What is the maximum value of T so that r(t) can be recovered? 10ρ 18ρ A signal (t) has the Fourier transform X(jw) indicated in the figure. The signal is sampled to obtain the discrete time signal 1....
4. a) The sequence x[n] is related to its discrete time Fourier transform (DTFT). Xeo), by the expression: 27T i) Use this expression to design a 10th order high-pass finite impulse response (FIR) filter with cut-off frequency of 7 kHz for signals sampled at 16 kHz. Perform your design using a rectangular window. ii State what improvement in the performance of the filter might be 3 obtained by the use of a Hamming window. iii) Sketch a direct form implementation...