**Laplace transform is used predominantly for analysis of**

-> continuous signals and analogue systems

**This is an example of a Fourier transform**

- DFT
- FFT
- Fourier series
- Fourier integral

**This filter passes low frequencies**

-> a Low pass filter

**Averaging**

- is applicable to an ensemble of records only
- reduces noise for any signal
- requires signals in every record to be coherent
- reduces the power of the noise by the number of records

**The fastest ADC technology is**

-> Flash ADC

**Aliasing**

- can be reduced by increasing the sampling frequency
- can be reduced by preliminary low pass filtering means
- can be reduced by using oversampling
- distorts the digitised signal

**DFT stands for**

-> Discrete Fourier Transform

**OFDM**

- utilises DFT for communications purposes
- combines sinewaves at orthogonal frequencies
~~transmits one bit at a time~~- employs guard time to allow for multi path propagation
- uses cyclic prefix to reduce influence of transitions

**Digital Hilbert transformer is implemented by**

-> an FIR digital filter with asymmetric impulse response

**An FIR digital filter**

~~could be unstable~~- could process signals without any phase distortions
- has zeroes on the z-plane
- is conventionally characterised by its coefficients
- is a linear device

**The coefficients of an FIR adaptive filter are adjusted according to**

-> current error, design parameter μ, present input samples

**An adaptive filter**

- could predict future samples of a sequence
- is a linear device
~~is a time invariant device~~- minimises the difference between the desired and actual outputs
- requires an extra signal input to function