Homework Answers
Summary - it is basic problem so I have shown step by step
solution .
Add Answer to:
21 Consider a continuous-time signal ( of finite energy, with a continuous spectrum6(f). Assume that GU)...
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...
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(...
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(t) (t) into a discrete-time signal yn] where we sample the signal every t= nT, seconds for n a. Determine the frequency fo of the cosine in Hertz and its corresponding period (T = 1/fo). b. Plot the continuous signal rt) for t = [0,4T] seconds so that four periods of the signal are plot command) plotted (use the (0, 1, 2,...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of t...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
Consider the continuous-time signalxt) 0.5 cos(2T 1000r). This is a tone with frequency 1000 Hz. ...
Consider the continuous-time signalxt) 0.5 cos(2T 1000r). This is a tone with frequency 1000 Hz. Sketch the Fourier transform X,2) of the continuous-time representation for the sampled signal Since X(S2) involves a pair of impulses, X,(32) also consists of impulses. Answer the following questions about X,(32). Enter the strength of the impulse of the third smallest positive frequency. Answer: Check When the continuous time signal is reconstructed from its sa ples, the information n the interval < < 2 equ...
4. (a) Consider a continuous-time signal given by j101 f(t)= e ' [u(t) - u(t –...
4. (a) Consider a continuous-time signal given by j101 f(t)= e ' [u(t) - u(t – 2)] (i) Find the Fourier transform of f(t) using the properties listed in the Appendix on page 6. (ii) If the signal f(t) is sampled in the time domain, what is the Nyquist rate (in Hertz) of f(t)? Comment on your result. (8 Marks)
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 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).
please, provide answer along with its matlab code. 10. Consider the continuous- time signal kite a1ua(-t) + kze-a2t...
please, provide answer along with its matlab code.
10. Consider the continuous- time signal kite a1ua(-t) + kze-a2t cos (2mfi t) ua (t), Ta(t) where ki =-400, k2 2, a1 = -57.5364, a2 21.0721, and fi=300 Hz. (a) Plot ra(t). Identify the non-causal part of Ta (t) as Tal(t) and the causal part as Ta2(t). (b) Assuming that aa(t) is sampled using the sampling frequency fsamp 200 Hz, determine the discrete-time counter-parts corresponding to aal (t) and ra2(t), named a1(n)...
Problem 1: (3 +2+3+2 10, sampling) Consider the continuous-time signal x(t) = 3 + cos(10?1+ 5)...
Problem 1: (3 +2+3+2 10, sampling) Consider the continuous-time signal x(t) = 3 + cos(10?1+ 5) + sin(15?), t E R (a) Find the Fourier transform X-Fr. Hint: (F ejuot) (w) 2??(w-wo) (b) What is the Nyquist Frequency wn in radians/s of x? (c) Write an expression for the Fourier transform of the ideal sampling of x with sam- pling period T, = 2n/Cav.), i.e., ?00_ox(AZ)6(t-kZ) Hint: (F eiru>tz(t) (w) - X(w - rus) and recall Poisson's identity, CO eyru'st,...
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2...
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
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...
THTCos (200Tt) -oo<t< oo. We want to convert = {0,1,2,...} Problem 1. Suppose we have a continuous-time signal r(t) (t) into a discrete-time signal yn] where we sample the signal every t= nT, seconds for n a. Determine the frequency fo of the cosine in Hertz and its corresponding period (T = 1/fo). b. Plot the continuous signal rt) for t = [0,4T] seconds so that four periods of the signal are plot command) plotted (use the (0, 1, 2,...
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
Consider the continuous-time signalxt) 0.5 cos(2T 1000r). This is a tone with frequency 1000 Hz. Sketch the Fourier transform X,2) of the continuous-time representation for the sampled signal Since X(S2) involves a pair of impulses, X,(32) also consists of impulses. Answer the following questions about X,(32). Enter the strength of the impulse of the third smallest positive frequency. Answer: Check When the continuous time signal is reconstructed from its sa ples, the information n the interval < < 2 equ...
4. (a) Consider a continuous-time signal given by j101 f(t)= e ' [u(t) - u(t – 2)] (i) Find the Fourier transform of f(t) using the properties listed in the Appendix on page 6. (ii) If the signal f(t) is sampled in the time domain, what is the Nyquist rate (in Hertz) of f(t)? Comment on your result. (8 Marks)
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 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).
please, provide answer along with its matlab code.
10. Consider the continuous- time signal kite a1ua(-t) + kze-a2t cos (2mfi t) ua (t), Ta(t) where ki =-400, k2 2, a1 = -57.5364, a2 21.0721, and fi=300 Hz. (a) Plot ra(t). Identify the non-causal part of Ta (t) as Tal(t) and the causal part as Ta2(t). (b) Assuming that aa(t) is sampled using the sampling frequency fsamp 200 Hz, determine the discrete-time counter-parts corresponding to aal (t) and ra2(t), named a1(n)...
Problem 1: (3 +2+3+2 10, sampling) Consider the continuous-time signal x(t) = 3 + cos(10?1+ 5) + sin(15?), t E R (a) Find the Fourier transform X-Fr. Hint: (F ejuot) (w) 2??(w-wo) (b) What is the Nyquist Frequency wn in radians/s of x? (c) Write an expression for the Fourier transform of the ideal sampling of x with sam- pling period T, = 2n/Cav.), i.e., ?00_ox(AZ)6(t-kZ) Hint: (F eiru>tz(t) (w) - X(w - rus) and recall Poisson's identity, CO eyru'st,...
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
Most questions answered within 3 hours.
-
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 57 minutes ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 1 hour ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 2 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 2 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 2 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 2 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 3 hours ago -
Project management question:
Name 3 different types of resources (hint: humans are one
type)
asked 3 hours ago -
Consider the following reaction: C 2H 2( g) + 2H 2( g) C 2H 6(
g)...
asked 3 hours ago -
Consider a 1.0 L buffer containing 0.092 mol L-1 HCOOH and 0.100
mol L-1 HCOO-. What...
asked 3 hours ago -
Koch Realty has owned a vacant land with a FMV of
$775,000 and an adjusted basis...
asked 3 hours ago -
It is estimated 29% of all adults in United States invest in
stocks and that 85%...
asked 3 hours ago