discrete time system
What is a discrete-time signal?
A signal that is discrete in both time and amplitude
In a Direct Form I realization of an IIR filter, how many delay elements are generally required for an Nth order filter?
2N
What is a key characteristic that distinguishes IIR filters from FIR filters?
IIR filters have feedback.
What does "LTI" stand for in the context of discrete-time systems?
Linear Time-Invariant
What is the primary advantage of Direct Form II (Canonic Form) realization compared to Direct Form I?
Reduced memory requirements
Which technique is commonly used for designing IIR filters that maintains the frequency response of analog filters?
Bilinear transformation.
What does the "convolution sum" represent in discrete-time systems?
The process of finding the output of an LTI system given its impulse response and input signal
Which realization structure is particularly useful for implementing filters with complex poles and zeros?
Cascade Form
What is a primary drawback of the impulse invariant transformation in IIR filter design?
It can only be used for low-pass filters.
If the Region of Convergence (ROC) of the Z-transform includes the unit circle (|z| = 1), the discrete-time system is:
Stable
In the context of filter realization, what does "scaling" refer to?
Adjusting the filter's gain to prevent overflow
Why are IIR filters often preferred over FIR filters in applications where sharp frequency cutoffs are needed?
IIR filters can achieve sharper cutoffs with lower filter orders.
If the output of a discrete-time system is only dependent on the present and past input values, the system is said to be:
Causal
What is the main characteristic of a transposed structure in filter realization?
It can be obtained by simply reversing the direction of signal flow in the original structure.
In the context of IIR filter design, what does "transition bandwidth" refer to?
The range of frequencies between the passband and stopband.