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Discrete Time Signal Processing

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Given the specifications $\alpha_p=3 \mathrm{~dB} ; \alpha_s=16 \mathrm{~dB} ; f_p=1 \mathrm{KH}_2$ and $f_s=2 \mathrm{KHz}$. Determine the order of the filter using the Chebyshev approximation. Find
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Determine the order and the poles of a type I lowpass Chebyshev filter that has a $1 \mathrm{~dB}$ ripple in the passband and passband frequency $\Omega_p=1000 \pi$, a stopband frequency of $2000 \pi$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Design a Chebyshev filter with a maximum passband attenuation of $2.5 \mathrm{~dB}$; at $\Omega_p=20 \mathrm{rad} / \mathrm{sec}$...
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Design a third-order Butterworth digital filter using the impulse invariant technique. Assume sampling period $T=1 \mathrm{sec}$.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Apply bilinear transformation to $H(s)=\frac{2}{(s+1)(s+2)}$ with $T=1$ sec and find $H(z)$.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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The normalized transfer function of an analog filter is given by $$ H_a\left(s_n\right)=\frac{1}{s_n^2+1.414 s_n+1} $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Convert the analog filter with the system function, $H_a(s)=\frac{s+0.1}{(s+0.1)^2+9}$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Solve $x-2 \sin x-3=0$ correct to two significant figures by Newton Raphson method correct up to 5 significant digits.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Find the IDFT of the sequences X(K)= {4, 1 - j2.414 , 0 , 1 + j0.414 , 0, 1 - j0.414 , 0, 1 - j2.414 } using DIF Algorithm
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Explain differentiation between Digital and Analog Filters.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Convert the analog filter with system function, $$ H_a(s)=\frac{s+0.5}{(s+0.5)^2+16} $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Apply the bilinear transformation to, $$ H_a(s)=\frac{4}{(s+3)(s+4)} $$ with T = 0.5 s and find H(z).
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Obtain $H(z)$ from $H_a(s)$ when $T=1 \mathrm{~s}$ and $H_a(s)=\frac{3 s}{s^2+0.5 s+2}$ using the bilinear transformation.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Using the bilinear transformation, obtain H(z) from Ha(s) when T = 1s and $H_a(s)=\frac{s^3}{(s+1)\left(s^2+2 s+2\right)}$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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A digital filter with a 3 dB bandwidth of 0.4 is to be designed from the analog filter whose system response is, $H(s)=\frac{\Omega_c}{s+2 Q_c}$...
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Determine the order of a Butterworth low-pass filter satisfying the following specifications: $f_p=0.10 \mathrm{~Hz}$ $f_s=0.15 \mathrm{~Hz}$ $\alpha_p=0.5 \mathrm{~dB}$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Design a digital IIR low-pass filter with a passband edge at 1000 Hz and stopband edge at 1500 Hz for a sampling frequency of 5000 Hz. ..
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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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 17 months ago by prajapatijaimin • 3.1k
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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 17 months ago by prajapatijaimin • 3.1k
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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 17 months ago by prajapatijaimin • 3.1k
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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 17 months ago by prajapatijaimin • 3.1k
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Design an ideal low-pass filter with N = 11 with frequency response,
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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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 17 months ago by prajapatijaimin • 3.1k
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Determine whether the following systems are linear or not, $ y(n)=x(n-2)+x\left(n^2\right) $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Obtain the F.S expression for the waveform shown in the figure,
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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