Given a sample rate of fs = 2000, calculate x[n] = x(nT) and X(ejω).
xt = cos(200*pi*t)
mt = cos(1000*pi*t)
Given a sample rate of fs = 2000, calculate x[n] = x(nT) and X(ejω). xt =...
You are given a finite step function xt=-1 0<t<4 1 4<t<8. Hand calculate the FS coefficients of x(t) by assuming half- range expansion, for each case below. Modify the code below to approximate x(t) by cosine series only (This is even-half range expansion). Modify the below code and plot the approximation showing its steps changing by included number of FS terms in the approximation. Modify the code below to approximate x(t) by sine series only (This is odd-half range expansion).. Modify...
Signal xo(t) 5 cos (200π1+ 품 ) + 4 sin (300π) is sampled at a rate of Fs = 1 kHz to obtain the discrete-time signal x[n]. (a) Determine the spectrum X(ej ) of x[n] and plot its magnitude as a function of ω rad sam in tad and as a function of F in Hz. Explain whether the original signal xe(t) can be recovered from xln]. (b) Repeat part (a) for 500 Hz. (c) Repeat part (a) for 100...
Given a signal g(t) = 20 cos(140πt): a. Calculate the signal bandwidth. b. Can the Signal be recovered if sampled at a rate (fs) of 200 samples per second? Justify your answer mathematically. c. With fs = 200 samples per sec and quantization levels (L) = 8, calculate the first 3 samples, first 3 quantized samples, and the binary codes of the first 3 samples. Assume sampling starts at t=0 and natural binary code is used.
consider the signal using matlab
Problem 2: Consider a signal: x[n] 3cos(n7/3) + 2sin(nt/4)+ cos(n7/5) Using Matlab, (1) Plot this signal in time domain. Can you identify the various frequencies in this signal? Use n 0:1:1000 (2) Plot this signal in frequency domain using the "fft" command. Identify the individual frequencies in the plot. (3) Calculate the frequencies of these signals. In the frequency plot, 1000 2
The question was let x(t)=7sin(11*pi*t). in each of the following parts, the discrete time signal x[n] is obtained by sampling x(t) at a rate fs, and the resultant x[n] can be written as x[n]=Acos(wo*n+phi). (d) What is the continuous-time period of x(t)? What is the discrete-time period after x(t) has been sampled at fs = 15 samples/s?
The sample data x1,x2,...,xn sometimes represents a time series, where xt = the observed value of a response variable x at time t. Often the observed series shows a great deal of random variation, which makes it difficult to study longer-term behavior. In such situations, it is desirable to produce a smoothed version of the series. One technique for doing so involves exponential smoothing. The value of a smoothing constant α is chosen (0 < α < 1). Then with...
3 Sampling and aliasing The aim of this part is to demonstrate the effects of aliasing arising from improper sampling. A given analog signal z(t) is sampled at a rate fs = 1/T, the resulting samples (nT) are then reconstructed by an ideal reconstructor into the analog signal rat). Improper choice of f, will result in different signals ra(t) + (t), even though they agree at their sample values, that is, tanT) = x(nT). The procedure is illustrated by the...
MATLAB Fourier transform. Suppose that a signal x(t) is sampled
with sampling frequency fs =100Hz.
The sequence x[n] obtained after the sampling is given below:
Take the DFT of the sampled sequence and plot
its magnitude and phase.
What is the frequency resolution (Δf) of your plot?
N= 20, 100 Hz
N= 20, 100 Hz
and for 2. A random sample of n measurements is selected from a population with unknown mean known standard deviation o = 10. Calculate the width of a 95% confidence interval for these values of n: a. n=100 b. n=200 c. n=400 d. n=1000 e. n=2000
[MATLAB Scriptfile task]
Design N-band tone vocoder with a given figure (below) in MATLAB
implementing the given script file(bands_cutoff). This program
should be able to process any sound(.wav) file. Then, graph the
band-passed signals and amplitude envelopes extracted(after
rectification and low-pass filtering) and waveforms of the original
sound and vocoded sound. Additionally, using the output of the
script file, make spectrograms of the original sound and the
synthesized sound.
Bandpass filter Modulation Band-limiting Envelope detection BPF RECT LPF BPF sine...