IMPULSE RESPONSE OF DISCRETE TIME LTI SYSTEM.
The impulse response for an LTI system XX the XXXXXX, y ( t ) y(t) y(t), XXXX XXX input XX the unit XXXXXXX XXXXXX, σ ( t ) \XXXXX(t) X(t). XX XXXXX XXXXX, when x ( t ) = σ ( t ) , h ( t ) = y ( t ).
The output XX a XXXXXXXX XXXX XXX system XX XXXXXXXXXX XXXXXXXXXX by the input and the XXXXXX’s response to a XXXX impulse.
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XXX output XXX a XXXX XXXXXXX XXXXX XX XXXXXX XXX impulse response.
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A system XX XXXXXX linear if,
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This XX also called theXXXXXXXXXXXXX XXXXXXXXXXXX XX a very XXXXXXX XXXXXXXX XXXX XXXXXXXXX XXXXXXX.
XXXXXXXXX OF XXXXXX XXXXXXX:-
XXXXXXX XX XXXXXXX sequence:-
X sequence {x} is XXXX XX be XXXXXXX (XX X) XX there exists a XXXXXX value M XXXX that
|x(n) &XX; M XXX all n.
XXXXXXXXXX of XXXXXXXXX:-
X XXXXXX system XX said XX XX stable XX,
For XXX input XXXXXXXXX u XXXXXXX XX 1 : |u(n)| < 1 , for all nThere exists a XXXXXX value M, such that the XXXXXX XXXXXXXX y XX bounded by X: |y (n)| &XX; X, XXX XXX n.
DEFINITIONS XX XXXXXX XX SIGNALS:-
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XXXXXXX,
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XXXXXXXXXXX OF XXXXXX DT XXXXXXX: XXXXXX XX XX XX XX
XX XX, XXXXXXXXXXX the Dirac delta function XXXXX(t), yields XXX XXXXXXXXX XXXX XXXXXXXX s(t),
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XXXXXXXX, in XX, summing XXXX XXX XXXX XXXXXXX sequence results in XXX unit XXXX XXXXXXXX {s(n)} XXXX,
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STABILITY:-
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