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Answer the following questions based on these DT signals: 2πη x[n] = 1 + cos 6...
need the answer for G please and thank you 1. Find the Fourier series coefficients of...
need the answer for G please and thank you
1. Find the Fourier series coefficients of the following periodic signals 2πη πη π x[n] = [1 + sin(一)I cos (C -) e. x[n] = ( 21)-) y[n-1], y[n] is a periodic signal with period N = 8 and Fourier f. series coefficients of bk - -bk -4 cOS
Consider the following DT periodic signal: in X(t) = sin 2πη) 10 + cos 30) a)...
Consider the following DT periodic signal: in X(t) = sin 2πη) 10 + cos 30) a) What is the fundamental period? b) What are the exponential Fourier series coefficients? c) Sketch magnitude and phase spectral plots.
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t)...
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n +...
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n + 2 sin 3.2n n x[n] a. xn 0 12 15 6 b. xn 2N No 2N C.
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = {...
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution. Let z[n] = sin(7") and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier series representation for the periodic convolution of these signals.
This is about signals and system. Please write it down correctly and take a picture to make it look good. 2. [30 Pts...
This is about signals and system.
Please write it down correctly and take a picture to make it look
good.
2. [30 Pts] Consider a causal continuous-time LTI system whose input x(t) and output y(t) are related by the following differential equation: y[n] -y [n - 1] = x[n]. Answer the following questions. (a) Find the frequency response of the system H(e). n, find the Fourier series representation of the output. (b) When x[n] = sin n2cosn], find the Fourier...
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms...
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude and phase spectra for parts (a) and (b) 3Tt 3n Fig. P4.3-6
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude...
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is giv...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
2. Determine the FS coefficients for each of the following DT periodic signals. (a) x[n] =...
2. Determine the FS coefficients for each of the following DT periodic signals. (a) x[n] = sin(2 /3) cos(in/2) (b) x[n] periodic with period 4 and x[n] = 1 - sin n for 0 <n<3. (e) a[n) periodic with period 12 and [n] = 1 - sin for 0 <n<11.
Q.3) 120 Marks] [8 Marks] Determine the DTFT of the following DT signals i) x[n] =...
Q.3) 120 Marks] [8 Marks] Determine the DTFT of the following DT signals i) x[n] = (0.5)" [u[n]-n(n-3)) a) ii) ? [n] = n (0.5)" u[n-2] b) [8 Marks] Consider the following CTFT pair: jw x(t) ?? (-v^2 + 5 i) e -/00t x(t) 6) using the CTFT properties determine the Fourier transform (CTFT) of: i x(3t-6) e) [4 Marks] Prove the Parseval's relationship for a CT signal x e
need the answer for G please and thank you
1. Find the Fourier series coefficients of the following periodic signals 2πη πη π x[n] = [1 + sin(一)I cos (C -) e. x[n] = ( 21)-) y[n-1], y[n] is a periodic signal with period N = 8 and Fourier f. series coefficients of bk - -bk -4 cOS
Consider the following DT periodic signal: in X(t) = sin 2πη) 10 + cos 30) a) What is the fundamental period? b) What are the exponential Fourier series coefficients? c) Sketch magnitude and phase spectral plots.
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
Find the discrete-time Fourier Series for the following periodic signals: 3. 4 cos 2.4n n + 2 sin 3.2n n x[n] a. xn 0 12 15 6 b. xn 2N No 2N C.
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution. Let z[n] = sin(7") and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier series representation for the periodic convolution of these signals.
This is about signals and system.
Please write it down correctly and take a picture to make it look
good.
2. [30 Pts] Consider a causal continuous-time LTI system whose input x(t) and output y(t) are related by the following differential equation: y[n] -y [n - 1] = x[n]. Answer the following questions. (a) Find the frequency response of the system H(e). n, find the Fourier series representation of the output. (b) When x[n] = sin n2cosn], find the Fourier...
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude and phase spectra for parts (a) and (b) 3Tt 3n Fig. P4.3-6
The signals in Fig. P4.3-6 is modulated signals with carrier cos(10r) Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and Table 4.1 a) b) Sketch the amplitude...
Please finish these questions. Thank you
Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
2. Determine the FS coefficients for each of the following DT periodic signals. (a) x[n] = sin(2 /3) cos(in/2) (b) x[n] periodic with period 4 and x[n] = 1 - sin n for 0 <n<3. (e) a[n) periodic with period 12 and [n] = 1 - sin for 0 <n<11.
Q.3) 120 Marks] [8 Marks] Determine the DTFT of the following DT signals i) x[n] = (0.5)" [u[n]-n(n-3)) a) ii) ? [n] = n (0.5)" u[n-2] b) [8 Marks] Consider the following CTFT pair: jw x(t) ?? (-v^2 + 5 i) e -/00t x(t) 6) using the CTFT properties determine the Fourier transform (CTFT) of: i x(3t-6) e) [4 Marks] Prove the Parseval's relationship for a CT signal x e
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