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Discrete Time Signal Processing

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381
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Obtain Inverse Z-Transform of, $ X(z)=\frac{1}{1-0.6 Z^{-1}+0.08 Z^{-2}} $ $$ \text { for i) }|Z|>0.4 \text { ii) }|Z|<0.2 \text { iii) } 0.2<|Z|<0.4 $$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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386
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Find DTFT of $x(n)=\sin (n \theta) u(n)$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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457
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Obtain DTFT of rectangular pulse, $ x(n)= \begin{cases}A, & 0 \leq n \leq L-1 \\ 0, & \text { otherwise }\end{cases} $
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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432
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Find the step response of the circuit shown in the Figure,
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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382
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Find impulse response of the following equation,$$ \frac{d^2 y(t)}{d t^2}+5 \frac{d y(t)}{d t}+6 y(t)=x(t) $$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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375
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Find inverse Fourier transform $X(j \Omega)=\delta(\Omega)$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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639
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Find the Fourier transform of the rectangular pulse function shown in the figure,
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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3.4k
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Compute The DFT of the four point sequences x(n)={0,1,2,3}.
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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5.1k
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Determine if the following systems are time-invariant or time-variant. (i) $y(n)=x(n)+x(n-1)$ (ii) $y(n)=x(-n)$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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617
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Perform the circular convolution of the following sequences, $x_1(n)=\{1,1,2,1\}$ and $x_2(n)=\{1,2,3,4\}$ using DFT and IDFT method.
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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3.2k
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Find the output y(n) of a filter whose impulse response is h(n)=(1,1,1) and input signal x(n)=(3,-1,0,1,3,2,0,1,2,1) using over lab save method.
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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541
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Find the DFT of the sequence $x(n)=\left\{\begin{array}{l}1 \text { for } 0 \leq n \leq 2 \\ 0 \text { otherwise }\end{array}\right.$ for N=4 and compute the corresponding amplitude and phase spectrum
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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6.1k
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Find the DFT of the sequence x[n] = {1, 2, 3, 4, 4, 3, 2, 1} using radix-2 decimation in time FFT algorithm.
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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2.3k
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Find IDFT of the sequence X (K) = {1,0,1,0}
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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3.5k
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Find IDFT of the sequence X (K) = (5,0,1-j,0,1,0,1+j,0)
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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12k
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Determine the 8-point DFT of the sequence x(n)={1,1,1,1,1,1,0,0}
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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1.4k
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Test the stability of the system whose impulse response , $ h(n)=\left(\frac{1}{2}\right)^n u(n) $
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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833
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Determine whether the following systems are causal or non-causal.$$y(n)=x(n)+\frac{1}{x(n-1)} $$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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2.2k
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Determine the values of power and energy of the following signals. Find whether signals are power, energy or neither energy nor power signals: $ x(n)=e^{j\left(\frac{\pi}{2} n+\frac{\pi}{4}\right)} $
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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3.3k
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Determine the values of power and energy of the following signals. Find whether signals are power, energy or neither energy nor power signals: $$ \quad x(n)=\left(\frac{1}{3}\right)^n u(n) $$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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1.5k
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Design an ideal low-pass filter with N = 11 with frequency response,
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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1.3k
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The following transfer function characterizes an FIR filter (N = 9). Determine the magnitude response and show that the phase and group delays are constant.$$ H(z)=\sum_{n=0}^{N-1} h(n) z^{-n} $$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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1.3k
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The length of an FIR filter is 7. If this filter has a linear phase, show that $ \sum_{n=0}^{N-1} h(n) \sin (\alpha-n) \omega=0 $ is satisfied.
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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722
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Determine the lowest order of Chebyshev filter that meets the following specifications: (i) $1 \mathrm{~dB}$ ripple in the passband $0 \leq|\omega| \leq 0.3 \pi$
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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1.2k
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Determine the system function $H(z)$ of the lowest order Chebyshev IIR digital filter with the following specifications:
discrete time signal processing updated 2.5 years ago by prajapatijaimin • 3.3k
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