Find the fundamental angular frequency of the following discrete signal. x [n] = 36 cos (2.47m) + 18 sin (3.21m)
(a) 0.2
(b) 0.4
(c) 0.27r
(d) 0.4yr
Find the fundamental angular frequency of the following discrete signal. x [n] = 36 cos (2.47m)...
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the sinusodal signal x(t) = 10 sin(21 Fot) with analog frequency F. Write an equa- tion for the discrete time signal n. (c) In part(b) if Fe = 400Hz and the sampling frequency F. = 4kHz, determine the fundamen- tal period of x[n].
Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions. (a) g[n]=cos(27n/10) (b) g[n] = cos(in/10)= cos(2īn/20) (c) g[n] = cos(2n/5)+cos(2 ron /7) (d) g[n]=ej 2an/20 +ej27n/20 (e) g[n]=e+j27n/3 + ej27n/4 (f) g[n]=sin(1310n/8) –cos(97n/6)=sin(2x1310n/16) -cos (2x3mn/4) (8) g[n]=e367n/21 + cos(22n/36)– sin(11ăn/33)
Digital Signal Processing (Question estion# 2].Determine the fundamental period, the fundamental frequency and the average power of the following periodic sequences: 19 Points a. x1[n] = e 10.5 b. x2[n] = 3 cos(1.31n) - 4 sin (0.57 +") c. x3[n] = 5 cos (1.2 ttn + + 4 cos(0.6ın) - sin(0.2 ton)
Consider the signal: x() 10 cos (30mt ) a) Determine the frequency and the angular frequency of x(t) b) Find the energy of x (t) c) Find the power of x(t). d) Determine whether x(t) is a power or an energy signal.
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Fundamental Frequency of Continuous Signals To identify the period T, the frequencyf= 1/T, or the angular frequency ω = 2nf= 2m/T of a given sinusoidal or complex exponential signal, it is always helpful to write it in any of the following forms: sin (gd-sin(2nf)-sin(2t/T) The fundamental frequency of a signal is the greatest common divisor (GCD) of all the frequency components contained in a signal, and, equivalently, the fundamental period is the least common multiple (LCM) of all individual periods...
Q4. For each signal, if it is periodic, find the fundamental period T. (in seconds) and the fundamental frequency (in rad/s). Otherwise prove that the signal is not periodic. [1 + 1 - 2 marks) a) X(t) = cos(5t) + sin(25t) b)x() = sin 91 + + sin(61 - 7) + cos(391)
5. Find the fundamental period and fundamental frequency of the following function: g(t) = cos(27t) + sin(3rd)+cos(574 -34A)
5. Find the fundamental period and fundamental frequency of the following function: 8(t) = cos(2.74) + sin(3/t) + cos(571 – 31/A)
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...