Describing a discrete time LTI system by difference equation and impulse response Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)LTI: How to derive the impulse response of this system?Find the expression and the system impulse responseLTI system response questionMatlab: Impulse response of linear time invariable (LTI) sine-signalSolving a non-linear parametric equationLTI system with sinc input and unit impulse output?LTI system difference equation with inputFind discrete transfer function from impulse response?Determining LTI System response with Fourier TransformCalculate impulse response for given system
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Describing a discrete time LTI system by difference equation and impulse response
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)LTI: How to derive the impulse response of this system?Find the expression and the system impulse responseLTI system response questionMatlab: Impulse response of linear time invariable (LTI) sine-signalSolving a non-linear parametric equationLTI system with sinc input and unit impulse output?LTI system difference equation with inputFind discrete transfer function from impulse response?Determining LTI System response with Fourier TransformCalculate impulse response for given system
$begingroup$
Consider a system where the output is a discounted summation of all previous inputs, which can be described by one of the following two input-output relationships;
- $y[n]=a y[n-1]+x[n]$
- $y[n]=sum_k=0^inftya^k x[n-k]$
It seems the first equation requires an initial condition to be evaluated, whereas the second equation does not. Do those two equations describe the same system? If so why does it require an initial condition additionally?
signal-processing
asked Mar 26 at 7:22
user319511user319511
262
$endgroup$
add a comment |
$begingroup$
Consider a system where the output is a discounted summation of all previous inputs, which can be described by one of the following two input-output relationships;
- $y[n]=a y[n-1]+x[n]$
- $y[n]=sum_k=0^inftya^k x[n-k]$
It seems the first equation requires an initial condition to be evaluated, whereas the second equation does not. Do those two equations describe the same system? If so why does it require an initial condition additionally?
signal-processing
asked Mar 26 at 7:22
user319511user319511
262
$endgroup$
add a comment |
$begingroup$
Consider a system where the output is a discounted summation of all previous inputs, which can be described by one of the following two input-output relationships;
- $y[n]=a y[n-1]+x[n]$
- $y[n]=sum_k=0^inftya^k x[n-k]$
It seems the first equation requires an initial condition to be evaluated, whereas the second equation does not. Do those two equations describe the same system? If so why does it require an initial condition additionally?
signal-processing
asked Mar 26 at 7:22
user319511user319511
262
$endgroup$
Consider a system where the output is a discounted summation of all previous inputs, which can be described by one of the following two input-output relationships;
- $y[n]=a y[n-1]+x[n]$
- $y[n]=sum_k=0^inftya^k x[n-k]$
It seems the first equation requires an initial condition to be evaluated, whereas the second equation does not. Do those two equations describe the same system? If so why does it require an initial condition additionally?
signal-processing
signal-processing
asked Mar 26 at 7:22
user319511user319511
262
asked Mar 26 at 7:22
user319511user319511
262
asked Mar 26 at 7:22
user319511user319511
262
asked Mar 26 at 7:22
user319511user319511
262
asked Mar 26 at 7:22
user319511user319511
262
262
add a comment |
add a comment |
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