The above function will be a cosine graph of the form,
so, the amplitude of the above waveform is 2.0 units, the
frequency of the wave is 10 Hz and the phase difference is quarter
of a wave (). The time period
of the wave is T = 1/f = 0.1s.
The graph looks like:
Here, the horizontal axis is given in radians and the shaded region is the region -0.1 < t < 0.2.
Problem 4 Sketch the sinusoid x(t)-2 cos(2n(10)t + π/2) over the range-0.1 0.2.
Problem 4 Sketch the sinusoid x(t) 2 cos(2 10)t T/2) over the range -0.1 s ts0.2.
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples would be stored after 60 ms? (b) If x(t) = 4 cos(2π250t + 2n/7), what is the period of this signal? (c) For CDs, the sampling rate is 44,100 samples per second. How often (in seconds) must the ADC sample the signal?
(a) The signal x(t) 3 cos (2n404 t + π/4) + cos(2n660t-n/5) is sampled at 20kHz. How many samples...
4- Plot the following signals a. x (t) = cos 2 (3 π t) b. x (t) = cos 2 (3 π t + π/ 2) c. x [ n] = (− 1) n d. x [ n] = j n (N o t e j = √ − 1) e. x [ n] = e − a | n | (a > 0)
2. Sketch the function cos[w(t-v) overwz/u for value at-0, π/4,π/2,3%,π. (one diagram for cach ot) Esplain how this can be regarded as a propagating wae Repeat this procedure for cos co e
2. Sketch the function cos[w(t-v) overwz/u for value at-0, π/4,π/2,3%,π. (one diagram for cach ot) Esplain how this can be regarded as a propagating wae Repeat this procedure for cos co e
please explain and do in matlab
Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The commands are: to compute the difference quotient for z And the difference quotient is: ( 6 (3) Using h-0.01 to approximate the second derivative by computing the difdifquo for in [0, π). The commands are: And the difdifquo is:
Problem 3. Consider the...
MATLAB Code Question
alpha = 2.3
beta = 4.3
zeta = 9.1
PROBLEM 4 (20 points). Consider three sinusoids with the following amplitudes and phases a.cs(2n(500t)) β.cos(2n(500t) +0.5r) x1n] x2[n] rn = cos(2(500t)0.75) Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is using a sampling rate of 8,000 Hz over a range of 0.1 seconds Use the MATLAB function stem) to plot r[n] for the first 20 samples Use the MATLAB function...
4. Shown in the figure below is a sinusoid. r(t) sec -10 -2 This sinuosoid may be expressed as (a) From this plot, determine the values of A, ao, fo, td, and φ. Choose the value of the angle (phase) φ such that-π 〈 φ π. (b) Suppose that x(t) is sampled using a sample period of T, seconds to produce x[n] What is the sample rate fs? Indicate the units. If linear interpolation is used (this is what MATLAB...
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
Problem 1. x(t) = 2 cos(210.8t) + 3cos(270.2t) 1) Sketch x(t) for 0<t<2 2) Find the Fourier Series coefficients for x(t)