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**[[Invertibility_of_a_system_ECE301S11|Is the following system invertible?]] | **[[Invertibility_of_a_system_ECE301S11|Is the following system invertible?]] | ||
**[[Stability_of_a_system_ECE301S11|Is the following system stable?]] | **[[Stability_of_a_system_ECE301S11|Is the following system stable?]] | ||
+ | **[[Memoryless system question ECE301S11|Is the following system memoryless?]] | ||
+ | **[[Causal system question ECE301S11|Is the following system causal?]] | ||
*Linearity and time invariance of a system | *Linearity and time invariance of a system | ||
**[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]] | **[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]] | ||
**[[Linearity_of_a_system_ECE301S11|Is the following system linear?]] | **[[Linearity_of_a_system_ECE301S11|Is the following system linear?]] | ||
− | *[[ | + | *Linearity and time invariance |
+ | **[[Time invariance of a system ECE301S11|Is the following system time-invariant?]] | ||
+ | **[[Linearity of a system ECE301S11|Is the following system linear?]] | ||
+ | **[[Answer from a previous student Time invariance of a system please comment ECE301S11|Is the following system time-invariant?]] | ||
*Computing the output of a DT LTI system by convolution | *Computing the output of a DT LTI system by convolution | ||
**[[output_of_LTI_DT_system_by_convolution_ECE301S11|Compute the output of the following DT LTI system]] | **[[output_of_LTI_DT_system_by_convolution_ECE301S11|Compute the output of the following DT LTI system]] | ||
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**[[ECE_301_Fall_2007_mboutin_Frequency_and_Impulse_Response_Example|Frequency and impulse response obtained from a difference equation describing an LTI system]] | **[[ECE_301_Fall_2007_mboutin_Frequency_and_Impulse_Response_Example|Frequency and impulse response obtained from a difference equation describing an LTI system]] | ||
**[[ECE_301_Fall_2007_mboutin_Difference_Equation_in_Class_Example|A tricky example: only attempt if you really understand what is going on]] | **[[ECE_301_Fall_2007_mboutin_Difference_Equation_in_Class_Example|A tricky example: only attempt if you really understand what is going on]] | ||
+ | *Nyquist theorem | ||
+ | **[[Nyquist rate for a sinc function|What is the Nyquist rate for this signal?]] | ||
+ | **[[Nyquist rate for a signal ECE301S11|What is the Nyquist rate for this other signal?]]<span style="color: red"> | ||
+ | **[[Samping and reconstruction of sinc ECE301S11|Samping and reconstruction of sinc function]]. | ||
+ | **[[Samping and reconstruction of sinc multiplied by exponential ECE301S11|Samping and reconstruction of sinc function multiplied by exponential]]. | ||
+ | **[[Samping and reconstruction of sinc multiplied by exponential no1 ECE301S11|Samping and reconstruction of sinc function multiplied by exponential (another one)]]. | ||
+ | **[[Samping and reconstruction of sinc multiplied by exponential no2 ECE301S11|Samping and reconstruction of sinc function multiplied by exponential (another one)]]. | ||
+ | **[[Samping and reconstruction of sinc multiplied by cosine ECE301S11|Samping and reconstruction of sinc function multiplied by acosine]]. | ||
+ | **[[Nyquist rate after squaring sinc signals ECE301S11|What is the Nyquist rate of a sinc function multiplied by itself?]] | ||
+ | **[[Nyquist rate after multiplicating sinc signals ECE301S11|What is the Nyquist rate of the multiplication of two sinc functions?]] | ||
+ | *Modulation | ||
+ | **[[Signal modulation with exponential ECE301S11|Demodulation of signal modulated with exponential]] | ||
+ | **[[Signal modulation with cosine ECE301S11|Demodulation of signal modulated with cosine]] | ||
+ | *Z-transform | ||
+ | **[[Compute z-transform u n ECE301S11|Computation of the z-transform]] | ||
+ | **[[Compute z-transform u -n ECE301S11|Another computation of the z-transform]] | ||
+ | **[[Compute Inverse z-transform ECE301S11|Computation of the inverse z-transform]] | ||
+ | **[[Compute Inverse z-transform 2 ECE301S11|Another computation of the inverse z-transform]] | ||
---- | ---- |
Revision as of 05:44, 23 August 2011
Practice Problems for Signals and Systems (ECE301)
A list of collectively solved practice problems related to Signals and Systems.
- Review of complex numbers
- Signal Power and Energy
- Transformation of the independent variable
- Basic System Properties
- Linearity and time invariance of a system
- Linearity and time invariance
- Computing the output of a DT LTI system by convolution
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Compute the output of the following DT LTI system
- Computing the output of a CT LTI system by convolution
- Computing the Fourier series coefficients of a CT signal
- Computing the Fourier series coefficients of a DT signal
- Computing the Fourier transform of a continuous-time signal:
- Properties of the Fourier transform of a continuous-time signal:
- Computing the Fourier transform of a discrete-time signal:
- Causal LTI systems defined by linear, constant coefficients difference equations:
- Nyquist theorem
- What is the Nyquist rate for this signal?
- What is the Nyquist rate for this other signal?
- Samping and reconstruction of sinc function.
- Samping and reconstruction of sinc function multiplied by exponential.
- Samping and reconstruction of sinc function multiplied by exponential (another one).
- Samping and reconstruction of sinc function multiplied by exponential (another one).
- Samping and reconstruction of sinc function multiplied by acosine.
- What is the Nyquist rate of a sinc function multiplied by itself?
- What is the Nyquist rate of the multiplication of two sinc functions?
- Modulation
- Z-transform
Click here for a comprehensive list of all Rhea pages in the "problem solving" category.