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![9. [n] = 10 cos [m] = 10 cos [tm + 25 m] = 10 cos (In+25n] treuency of 6, [1] = W,T We can generalite the above to any 2T mul](http://img.homeworklib.com/questions/9ccd4350-fca4-11eb-83c4-3b81c7e2becd.png?x-oss-process=image/resize,w_560)
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Consider the signal y(t) = 10cos(30ft) +15cos(80nt). c) If a sampling frequency of 30 Hz is...
Consider the signal y(t)=5+10cos(32πt)+15cos(180πt). Determine 1.The frequencies contained in the signal 2.The minimum sampling rate to...
Consider the signal y(t)=5+10cos(32πt)+15cos(180πt). Determine 1.The frequencies contained in the signal 2.The minimum sampling rate to avoid aliasing
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[...
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs =...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
Signal Sampling Problem Hi! Good morning, can someone help me to solve this following sampling excercise?...
Signal Sampling Problem Hi! Good morning, can someone help me to solve this following sampling excercise? A digital communication link carries binary-coded words representing samples of an input signal Xa (t) = 3 cos 600πT + 2 cos 1800 πT The link is operated at 10000 bits/s and each input sample is quantized into 1024 different voltage levels. What is the sampling frequency and the folding frequency? What is the Nyquist rate for the signal Xa (t)? What are the...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist...
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
Part A:- Synthesising a Discrete Signal using Matlab: Using a sampling frequency of 8000 Hz, determine...
Part A:- Synthesising a Discrete Signal using Matlab: Using a sampling frequency of 8000 Hz, determine the discrete signal, x[n] that is obtained from sampling a 1000 Hz sine wave, with a peak magnitude of 0.8. (that is, x(t)-0.8cos(2rtft)). Determine an equation for xin] in terms of 'n' and then create the signal in Matlab. (Remember in this case 'n' is your independent variable not t'.) Play the x[n] signal through the PC soundcard using the 'sound' command in Matlab....
Q7) A frequency of 46 kHz is higher than the normal audible range of 20 Hz to 20 kHz for a human ...
Q7) A frequency of 46 kHz is higher than the normal audible range of 20 Hz to 20 kHz for a human being. Consider a continuous-time signal x(t) - cos(2mfot) where fo 46 kHz. Sample the signal using a sampling rate of fs 48 kHz. A) Derive a formula for the discrete-time signal x[n] that results from sampling x (t) B) Using only analysis of x[n] in the discrete-time domain, determine the discrete-time frequency to which the continuous-time frequency of...
A signal contains 4 components, 10 Hz, 30 Hz, 65 Hz, and 105 Hz. If use...
A signal contains 4 components, 10 Hz, 30 Hz, 65 Hz, and 105 Hz. If use a sampling frequency 50 Hz to sample the signal, are these components sampled correctly? Please draw in frequency domain of what you observed
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This signal is used to modulate a carrier at 100 kHz to obtain an SSB modulated signal. At the receiver, in the coherent detector is used to recover m(t), the oscillator supplies a sine wave of frequency 100.02 kHz instead of a cosine wave of frequency 100 kHz. (a) Determine the frequency components of the detector output if the SSB signal transmits the upper sideband....
Q2.) Consider the sampling of the continuous-time signal x(t) to obtain a discrete-time signal x[n (1)-10cos(1000m + π/3) + 20cos(2000m + π/6). 110points! ], where x a) What is the maximum sampling interval (minimum sampling frequency) that could be used to ensure an aliasing free sampling of this signal? b) Plot the spectrum of the sampled signal if x() is sampled using a sampling frequency of (i) 2500 Hz (ii) 1800 Hz and state whether there will be an aliasing...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
Problem 4.(30 pts) Given the analog signal x(t) cos(2 cos(3t)+2 sin(4mt) A.(10 pts) Find the Nyquist frequency (sampling frequency) which guarantees That x() can be recovered from it's sampled version xIn] with no aliasing. B.(10 pts) If the sampling period of Ts 0.4 see is used identify all discrete frequencies Of the signal x(t), also indicate if this sampling period is adequate to recover x(t) from xn] C.(10 pts) Suppose signal x(t) is modulated by signal e(t) = cos(2000mt) what...
Part A:- Synthesising a Discrete Signal using Matlab: Using a sampling frequency of 8000 Hz, determine the discrete signal, x[n] that is obtained from sampling a 1000 Hz sine wave, with a peak magnitude of 0.8. (that is, x(t)-0.8cos(2rtft)). Determine an equation for xin] in terms of 'n' and then create the signal in Matlab. (Remember in this case 'n' is your independent variable not t'.) Play the x[n] signal through the PC soundcard using the 'sound' command in Matlab....
Q7) A frequency of 46 kHz is higher than the normal audible range of 20 Hz to 20 kHz for a human being. Consider a continuous-time signal x(t) - cos(2mfot) where fo 46 kHz. Sample the signal using a sampling rate of fs 48 kHz. A) Derive a formula for the discrete-time signal x[n] that results from sampling x (t) B) Using only analysis of x[n] in the discrete-time domain, determine the discrete-time frequency to which the continuous-time frequency of...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
Consider a message signal m(t) that contains frequency components at 100, 200, and 400 Hz. This signal is used to modulate a carrier at 100 kHz to obtain an SSB modulated signal. At the receiver, in the coherent detector is used to recover m(t), the oscillator supplies a sine wave of frequency 100.02 kHz instead of a cosine wave of frequency 100 kHz. (a) Determine the frequency components of the detector output if the SSB signal transmits the upper sideband....
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