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Discrete Time Signal Processing

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228
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Calculate power of given signal x(t),
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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302
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Find FTP of signal if it is periodic, (i) $x(t)=\sin 2 t+\cos 3 \pi t$ (ii) $\times(t)=\sin 2 \pi t+\cos \sqrt{2} \pi t$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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638
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Determine whether the following systems are time invariant or not, $y(t)=x(t) \sin w t$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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207
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Check whether the following is periodic or not. If periodic, determine fundamental time period, $x(t)=2 \cos (5 t+1)-\sin (4 t)$ t
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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442
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Given a sequence $x(n)$ for $0 \leq n \leq 3$, where $x(0)=1, x(1)=3, x(2)=3$, and $x(3)=4$. Evaluate its DFT $X(k)$.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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202
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Compute the DFT of the following two sequences, $h[n]=\{1,3,-1,-2\} \quad$ and $\quad x[n]=\{1,2,0,-1\}$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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242
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Find the Initial and final Halves, $ x(z)=\frac{1+z^{-1}}{1-0.25 z^{-2}} $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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242
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$ \text { Determine inverse } z \text {-transform } x(z)=\frac{1}{1-0.5 z^{-1}+0.5 z^{-2}} $ for (i) $R_{\propto}:|z|>1$ (ii) $R_{0 C}+1<0.5$ (iii) ROC $0.5<|2|<1$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Determine z-transform of the following $ x(n)=\{1,2,3,4,5,0,7\} $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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190
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Find the direct form II structure of, $ H(S)=\frac{5 S^3-4 S^2+11 S-2}{\left(S-\frac{1}{4}\right)\left(S^2-S+\frac{1}{2}\right)} $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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$ \text { Find inverse Laplace Transform of } X(S)=\frac{S^2+9 S+1}{S\left[S^2+6 S+8\right]} $ $ \text { Find ROC for } i) \operatorname{Re}(s)>0 $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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187
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Determine initial value and final value of the following signal, $X(S)=\frac{1}{s(s+2)}$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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349
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Find unilateral Laplace transform for the following signals, $ x(t)=u(t) $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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220
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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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184
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Determine whether the following systems are linear or not, $ \frac{d y(t)}{d t}+t y(t)=x^2(t) $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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235
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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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184
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The amplitude of first odd harmonic of the signal shown below is,
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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180
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Determine whether the functions given can be represented by a Fourier series, a) $x(t)=\cos 6 t+\sin 8 t+e^{i 2 t}$ b) $x(t)=\cos (t)+\sin \Pi t$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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176
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The signal $x(t)$ has FTP $T_0=1 \&$ the following Fourier coefficients, $C_k=\left\{\begin{array}{cc}\left(-\frac{1}{3}\right)^k, & k \geq 0 \\ 0, & k<0\end{array}\right.$ Find $x(t)$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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165
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Find the coefficient of Fourier Series for the given signal, $$ \mathrm{x}(t)=\sum_{n=-\infty}^{\infty} \delta\left(t-n T_0\right) $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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Find the inverse DFT of $X(k)=\{1,2,3,4\}$.
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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254
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Obtain Cascade form realization, $$ y(n)-\frac{1}{4} y(n-1)-\frac{1}{8} y(n-2)=x(n)+3 x(n-1)+2 x(n-2) $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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171
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Find output response using Z-transform, $ y(n)-\frac{3}{2} y(n-1)+\frac{1}{2} y(n-2)=2 x(n)+\frac{3}{2} x(n-1) $
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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228
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Find response of system using DTFT, $$ h(n)=\left(\frac{1}{2}\right)^n u(n) ; x(n)=\left(\frac{3}{4}\right)^n u(n) $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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177
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Determine the frequency response and impulse response, $$ y(n)-\frac{1}{6} y(n-1)-\frac{1}{6} y(n-2)=x(n) $$
discrete time signal processing updated 17 months ago by prajapatijaimin • 3.1k
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