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List two(2) ways to compute the energy of a continuous time signal. 

Definition
1) In the time domain by integrating x(t)² over the entire time axis. 2) In the frequency domain by integrating X(ω)² over the entire frequency axis. 


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What is the phase response of an LTI system? 

Definition


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ContinuousTime Fourier Series means... 

Definition
Each component's importance is indicated by the Fourier coefficient, "X[k]". 


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For the Fourier series & the Fourier transform:
Which one applies to periodic signals? 

Definition
Fourier Series...
The complex exponentials form the basis for the periodic function. 


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For the Fourier series & the Fourier transform:
Who's frequency is discrete? 

Definition
Fourier Series...
The frequency band is discrete (multiples of the fundamental frequency). 


Term
What is the frequency response of an LTI system? 

Definition
The Fourier transform of the systems impulse response. 


Term
What's Parseval's theorem about? 

Definition
The energy of a signal & calculating it's bandwidth.
Eₓ = ʃx(t)²dt <=> (1/2π)ʃX(ω)²dω 


Term
What is the magnitude response of an LTI system? 

Definition
The magnitude of Fourier transform. H(ω) 


Term
What conditions must a LTI system satisfy for the system to be distortionless? 

Definition
The magnitude response H(jω) must be constant for all frequencies of interest; H(jω)=C 


Term
ContinuousTime Fourier Series means... 

Definition
The signal, x(t) can be decomposed into many frequency components. 


Term
Explain analysis of a signal. 

Definition
To analyze the signal x(t) by compressing it into its components. 


Term
The idea of Fourier transform: 

Definition
To decompose periodic function into many frequency components. 


Term
Explain synthesis of a signal. 

Definition
To synthesize a signal x(t) from its components, i.e. individual complex exponentials 


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Definition


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The Fourier coefficient... 

Definition


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Convolution property offers a way to compute the system's response in the real frequency domain. 

Definition


Term

Definition
x₁(t)x₂(t) <=> (1/2π)X₁(ω)*X₂(ω)
This is known as the frequency convolution. 


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Definition


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The Fundamental angular frequency... 

Definition

