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ISRO EC 2019: Signals & Systems Booster Quiz 4
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Question 1
Convolution of x(t+5) with impulse function is equal to
Question 2
The impulse response of a linear time invariant system is H(n) = . The responses for the input signal x(n) = is
Question 3
The Fourier Transform of a discrete and aperiodic signal is
Question 4
A bandpass signal occupies the bandwidth 390 kHz to 410 kHz. What would be the minimum sampling frequency you use from the options given below, so as to avoid aliasing?
Question 5
Let A be the series
and B be the series
for real numbers. Then which of the following is true.
and B be the series
for real numbers. Then which of the following is true.
Question 6
The It R= 1/3 convolution encoder defined by transfer functions H1(z)=1+z-1
H2(z)=1+z-2
H3(z)=1+z-1+z-2is
H2(z)=1+z-2
H3(z)=1+z-1+z-2is
Question 7
If is sampled with Fs = 16000Hz calculate X(0) if X(m)= When N=8, where
Question 8
No of stages(S) in direct FIR filter is given as
S= intger (K*Fs / f)
Where Fs = Sampling Frequency. f= Filter transition band, K=3 (assume)
If x(n) is signal with frequncy rang 0.2.4 MHz and sampled at Fa = 400 MHz and it is filtered by
Assumptions :
•Passband Frequency LPF(1): 1.8 MHz, Stopband Frequency LPF(1): 4MHz
•Passband Frequency LPF(2): 1.8 MHz, Stopband Frequency LPF(2): 2 MHz
•Both filters are having flat passbands and stopbands
•Passband attenuation of both filters = 0 dB and stop band attenustion of both filters is infinity.
Calculate total no. stages SLPF1 + SLPF2
S= intger (K*Fs / f)
Where Fs = Sampling Frequency. f= Filter transition band, K=3 (assume)
If x(n) is signal with frequncy rang 0.2.4 MHz and sampled at Fa = 400 MHz and it is filtered by
Assumptions :
•Passband Frequency LPF(1): 1.8 MHz, Stopband Frequency LPF(1): 4MHz
•Passband Frequency LPF(2): 1.8 MHz, Stopband Frequency LPF(2): 2 MHz
•Both filters are having flat passbands and stopbands
•Passband attenuation of both filters = 0 dB and stop band attenustion of both filters is infinity.
Calculate total no. stages SLPF1 + SLPF2
Question 9
A digital filter has the transfer function where > 1 and . Assume that the filter is initially at rest. The initial and final values of the output when subjected to unit step input are ____ respectively
Question 10
The Laplace transform of a continuous time signal x(t) is . IF the Fourier transform of the signal exists, then x(t) is
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Dec 7ESE & GATE EC