The problem is for signals and systems,thanks. For the system, ℎ[?] = 5(−0.5)n?[?]−2(−0.25)n?[?], is the system...
The problem is for signals and systems,thanks.
For the system, ℎ[?] = 5(−0.5)n?[?]−2(−0.25)n?[?], is the system causal and stable? Please explain your reason.
I only get few clue as above,sorry.
Homework Answers
A signal which is not absolutely integrable or summable is called unstable.
Causality is defind for signal, system, LTI system is given
below.
Add Answer to:
The problem is for signals and systems,thanks.
For the system, ℎ[?] =
5(−0.5)n?[?]−2(−0.25)n?[?], is the system...
Please help with parts D, E, and F. Properties are listed below 1-5. (signals and systems...
Please help with parts D, E, and F. Properties are listed below
1-5. (signals and systems course)
1.28. Determine which of the properties listed in Problem 1.27 hold and which do not hold for each of the following discrete-time systems. Justify your answers. In each example, y[n] denotes the system output and x[n] is the system input. (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable x[n], x[n + 1], ns-I xln], n 2 1 x[n], n s...
signals and systems How to solve if coefficients are: A= -2 B = 1 C =...
signals and systems
How to solve if coefficients are:
A= -2
B = 1
C = 2
zBzC (b) (24 points) For the additional information given in each case below, determine the output ya for all n. (i) The system is causal and ipatn Inl (ii) The system is stable and input z--1 ii) The system is causal and stable, while the (bilateral) a-transform of input n has ROC of al<1 In (c) (8 points) For the (non-causal) system implied...
The problem is for signal and system,thanks. Determine that each of the following systems is linear,...
The problem is for signal and system,thanks. Determine that each of the following systems is linear, time invariant, and/or causal. ?(?) = ?(?) + 7?(6? + 5)+ 4?(? −3) ?(?) = |?(2? − 2)| ?[?] = ??[? − 1]
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
please answer them indetail. thanks 4. Let x(n) be a causal sequence. a) b) what conclusion...
please answer them indetail. thanks
4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396]...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Signals and Systems 2. The pole-zero diagram below has 2 zeros at the origin and 2...
Signals and Systems
2. The pole-zero diagram below has 2 zeros at the origin and 2 poles to represent a system A(s). Pole-Zero Map (-0.5, +1) X d Imaginary Au (-0.5, -1) X RealAxis con Is this a stable system? Explain. Write an exact simplified expression for A(s). A(s) = 3. A system has impulse response h(t)= u(t) A e' where A and B are positive constants. Write an exact simplified expression for H(S).
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] –...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB CODE) 5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2)...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB
CODE)
5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2) or a sinc function in frequency. (a) Find the impulse response h(t) of this filter. Plot it and indicate whether this filter is a causal system or not. (b) Suppose you wish to obtain a band-pass filter G(jS2) from Hj2). If the desired center frequency of |G(jS2)| is 5, and its desired magni- tude is 1 at the center frequency, how would you process...
Please help with parts D, E, and F. Properties are listed below
1-5. (signals and systems course)
1.28. Determine which of the properties listed in Problem 1.27 hold and which do not hold for each of the following discrete-time systems. Justify your answers. In each example, y[n] denotes the system output and x[n] is the system input. (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable x[n], x[n + 1], ns-I xln], n 2 1 x[n], n s...
signals and systems
How to solve if coefficients are:
A= -2
B = 1
C = 2
zBzC (b) (24 points) For the additional information given in each case below, determine the output ya for all n. (i) The system is causal and ipatn Inl (ii) The system is stable and input z--1 ii) The system is causal and stable, while the (bilateral) a-transform of input n has ROC of al<1 In (c) (8 points) For the (non-causal) system implied...
Problem 2. Decide if the following systems are linear, time-varying, causal, and have memory. The signals r[n] or r(t) are the input, and the signals y[n] or y(t) are the output Put Y for Yes, and N for No. No justification is needed. Linear? Time-Invariant?Causal?Has Memory? System y(t) = cos[r(t)] y(t) = 2t-x(t + 1) y(t) = r(3) 2 | 6 | y[n] = x[n] + x[n-1] + 1
please answer them indetail. thanks
4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
Signals and Systems
2. The pole-zero diagram below has 2 zeros at the origin and 2 poles to represent a system A(s). Pole-Zero Map (-0.5, +1) X d Imaginary Au (-0.5, -1) X RealAxis con Is this a stable system? Explain. Write an exact simplified expression for A(s). A(s) = 3. A system has impulse response h(t)= u(t) A e' where A and B are positive constants. Write an exact simplified expression for H(S).
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
SIGNALS AND SYSTEMS (PLEASE UPLOAD MATLAB
CODE)
5.37 Non-causal filter-Consider a filter with frequency response HG2)sin2) or a sinc function in frequency. (a) Find the impulse response h(t) of this filter. Plot it and indicate whether this filter is a causal system or not. (b) Suppose you wish to obtain a band-pass filter G(jS2) from Hj2). If the desired center frequency of |G(jS2)| is 5, and its desired magni- tude is 1 at the center frequency, how would you process...
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