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Questions and Answers
If a > 1 the signal y(t) is a ______ version of x(t)
If a > 1 the signal y(t) is a ______ version of x(t)
compressed
If 0 < a < 1 the signal y(t) is an ______ version of x(t)
If 0 < a < 1 the signal y(t) is an ______ version of x(t)
expanded
Effect of time scaling on (a) DT signal x[n] and (b) version of x[n] ______ by a factor of 2
Effect of time scaling on (a) DT signal x[n] and (b) version of x[n] ______ by a factor of 2
compressed
Some values of the original signal ______ as a result of the compression
Some values of the original signal ______ as a result of the compression
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Y(t) is the signal represents a ______ version of x(t) about t = 0
Y(t) is the signal represents a ______ version of x(t) about t = 0
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Even signal; x(-t) = x(t) an even signal is same as ______ version
Even signal; x(-t) = x(t) an even signal is same as ______ version
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Continuous-Time Signals are functions whose amplitude or value varies continuously with ______
Continuous-Time Signals are functions whose amplitude or value varies continuously with ______
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Discrete-Time Signals are functions that are defined or/and present only at discrete instants of ______
Discrete-Time Signals are functions that are defined or/and present only at discrete instants of ______
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Compression in signal processing involves reducing the size of the signal representation to save on ______ or transmission bandwidth
Compression in signal processing involves reducing the size of the signal representation to save on ______ or transmission bandwidth
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In signal processing, compression techniques aim to remove redundant or irrelevant information while preserving the essential ______
In signal processing, compression techniques aim to remove redundant or irrelevant information while preserving the essential ______
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Efficient compression algorithms can significantly reduce the amount of ______ needed to store or transmit a signal
Efficient compression algorithms can significantly reduce the amount of ______ needed to store or transmit a signal
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Compression is essential in various applications such as audio and video streaming to optimize storage and ______ efficiency
Compression is essential in various applications such as audio and video streaming to optimize storage and ______ efficiency
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The symbol n denotes time for ______ time signal
The symbol n denotes time for ______ time signal
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Ts denotes ______ period
Ts denotes ______ period
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A continuous-time signal x(t) is said to be an ______ signal if x(−t) = x(t) for all t symmetric about the vertical axis
A continuous-time signal x(t) is said to be an ______ signal if x(−t) = x(t) for all t symmetric about the vertical axis
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A continuous-time signal x(t) is said to be an ______ signal if x(−t) = − x(t) for all t antisymmetric about the vertical axis
A continuous-time signal x(t) is said to be an ______ signal if x(−t) = − x(t) for all t antisymmetric about the vertical axis
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A periodic signal x[n] is a function of time that satisfies the condition x[n] = x[n+N] for all N where N is a positive constant. x[n] is a ______ signal
A periodic signal x[n] is a function of time that satisfies the condition x[n] = x[n+N] for all N where N is a positive constant. x[n] is a ______ signal
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A deterministic signal is a signal that has no uncertainty with respect to its value at any time. The deterministic signal can be modeled as a completely specified function of ______
A deterministic signal is a signal that has no uncertainty with respect to its value at any time. The deterministic signal can be modeled as a completely specified function of ______
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Study Notes
Signal Transformations
- If ( a > 1 ), the signal ( y(t) ) is a stretched version of ( x(t) ).
- If ( 0 < a < 1 ), the signal ( y(t) ) is a compressed version of ( x(t)**.
- Effect of time scaling on discrete-time (DT) signal ( x[n] ) results in a version of ( x[n] ) stretched or compressed according to the scaling factor.
Compression Effects
- Original signal values may change as a result of time compression.
- Signal ( Y(t) ) represents a reflected version of ( x(t) ) about ( t = 0 ).
Signal Types
- An even signal satisfies the condition ( x(-t) = x(t) ); it appears the same when reflected across the vertical axis.
- Continuous-time signals are functions whose amplitude or value varies continuously with time.
- Discrete-time signals are defined only at discrete instants of time.
Compression in Signal Processing
- Compression involves reducing the size of signal representation to save on storage or transmission bandwidth.
- Compression techniques aim to remove redundant or irrelevant information while maintaining essential content.
- Efficient compression algorithms can significantly reduce the amount of data needed for storage or transmission.
- Compression is crucial in applications such as audio and video streaming to optimize storage and transmission efficiency.
Time Notation
- The symbol ( n ) denotes time for discrete-time signals.
- ( T_s ) denotes the sampling period.
Signal Symmetry
- A continuous-time signal ( x(t) ) is even if ( x(-t) = x(t) ) for all ( t ), indicating symmetry about the vertical axis.
- A continuous-time signal is odd if ( x(-t) = -x(t) ) for all ( t ), indicating antisymmetry about the vertical axis.
Periodic and Deterministic Signals
- A periodic signal ( x[n] ) satisfies ( x[n] = x[n+N] ) for all ( N ), where ( N ) is a positive constant.
- A deterministic signal is one with no uncertainty regarding its value at any time; it can be modeled as a completely specified function of time.
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Description
Test your knowledge on the basic operations of signals, focusing on time scaling, reflection, folding, and time shifting. Learn about the effects of time scaling on signals when multiplied by a real positive constant in continuous-time systems.
