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#2: Consider the ideal lowpass filter DT filter described by -j60 e 4 0, 4 H()...
Aliasing occur? (Justify your answer.) 5.38. An ideal lowpass digital filter has the frequency fu...
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 =...
3. The below signal is to be passed through the ideal lowpass filter below after modulation. What...
3. The below signal is to be passed through the ideal lowpass filter below after modulation. What is the maximum modulating frequency oe that can be used without distorting the signal? 10 Marks e(t) y(t) x(t) Lowpass Filter cos(wet) Carrier
3. The below signal is to be passed through the ideal lowpass filter below after modulation. What is the maximum modulating frequency oe that can be used without distorting the signal? 10 Marks e(t) y(t) x(t) Lowpass Filter cos(wet) Carrier
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with...
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with cutoff frequency wc = 10007. If impulse-train sampling is performed on x(t), which of the following sampling periods would guarantee that y(t) can be recovered from its sampled version using an appropriate lowpass filter? (a) T=0.5x10-3 (b) T=2x10-3 (c) T=10-4
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) =...
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) = - -2 <92 < 2 otherwise ZH (12) = 0 1/2 12 < 0 (a) Calculate the impulse response h(t) of the ideal low-pass filter. (b) If the input of the filter is a periodic signal x(t) having a Fourier series 2 X(t) = cos(3kt/2) k=1 determine the steady-state response yss(t) of the system. Answers: h(t) = (1 - cos(2t))/(nt); Yss(t) = 2 sin(1.5t).
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be ab...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Oversampled ADC Problem: Consider an ideal lowpass filter with a passband gain of A 2 1 and a cutoff frequency of e < f/2. For what value of Fe is the power gain equal to one Consider an idea...
Oversampled ADC Problem:
Consider an ideal lowpass filter with a passband gain of A 2 1 and a cutoff frequency of e < f/2. For what value of Fe is the power gain equal to one
Consider an ideal lowpass filter with a passband gain of A 2 1 and a cutoff frequency of e
Please show work. An FIR filter is described by the difference equation: (a) Find its impulse...
Please show work.
An FIR filter is described by the difference equation: (a) Find its impulse response h[n] and plot versus n. 1 n 0,2,4 0 elsewhere (b) Find the output when the input signal is n]-
filtering of periodic signals: damental frequency 120 = 1/4 is the Answers: Gk = 0.J, Consider...
filtering of periodic signals: damental frequency 120 = 1/4 is the Answers: Gk = 0.J, Consider the following problems related to filtering of (a) A periodic signal x(t) of fundamental frequen input of an ideal band-pass filter with the following response the following frequency 11312 3 3/2 1 -37% -21 322 5 3/2 ZH(N2) = 2 -3/2 223 - 0 otherwise ero Fourier series coefficients of x(t) are (92)/ = o otherwise The non-zero Fourie X = X-1 = ),...
9-5. Given: an ideal digital BPF has impulse response h(n) = z sinc(n) - sinc(n). What...
9-5. Given: an ideal digital BPF has impulse response h(n) = z sinc(n) - sinc(n). What is its output signal when the input signal is the sequence cos(2n)?
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 =...
3. The below signal is to be passed through the ideal lowpass filter below after modulation. What is the maximum modulating frequency oe that can be used without distorting the signal? 10 Marks e(t) y(t) x(t) Lowpass Filter cos(wet) Carrier
3. The below signal is to be passed through the ideal lowpass filter below after modulation. What is the maximum modulating frequency oe that can be used without distorting the signal? 10 Marks e(t) y(t) x(t) Lowpass Filter cos(wet) Carrier
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with cutoff frequency wc = 10007. If impulse-train sampling is performed on x(t), which of the following sampling periods would guarantee that y(t) can be recovered from its sampled version using an appropriate lowpass filter? (a) T=0.5x10-3 (b) T=2x10-3 (c) T=10-4
5.17 The frequency response of an ideal low-pass filter is -1/2 S2 > 0 |H(S2) = - -2 <92 < 2 otherwise ZH (12) = 0 1/2 12 < 0 (a) Calculate the impulse response h(t) of the ideal low-pass filter. (b) If the input of the filter is a periodic signal x(t) having a Fourier series 2 X(t) = cos(3kt/2) k=1 determine the steady-state response yss(t) of the system. Answers: h(t) = (1 - cos(2t))/(nt); Yss(t) = 2 sin(1.5t).
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
Oversampled ADC Problem:
Consider an ideal lowpass filter with a passband gain of A 2 1 and a cutoff frequency of e < f/2. For what value of Fe is the power gain equal to one
Consider an ideal lowpass filter with a passband gain of A 2 1 and a cutoff frequency of e
Please show work.
An FIR filter is described by the difference equation: (a) Find its impulse response h[n] and plot versus n. 1 n 0,2,4 0 elsewhere (b) Find the output when the input signal is n]-
filtering of periodic signals: damental frequency 120 = 1/4 is the Answers: Gk = 0.J, Consider the following problems related to filtering of (a) A periodic signal x(t) of fundamental frequen input of an ideal band-pass filter with the following response the following frequency 11312 3 3/2 1 -37% -21 322 5 3/2 ZH(N2) = 2 -3/2 223 - 0 otherwise ero Fourier series coefficients of x(t) are (92)/ = o otherwise The non-zero Fourie X = X-1 = ),...
9-5. Given: an ideal digital BPF has impulse response h(n) = z sinc(n) - sinc(n). What is its output signal when the input signal is the sequence cos(2n)?
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