A digital difference filter used to flag sudden changes in a sensor reading has…
PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Signals, systems, control and digital signal processing · Signals, systems, control and digital signal processing
Electronics for Measurement, Ch Linear systems, the impulse response and convolution
Problem
A digital difference filter used to flag sudden changes in a sensor reading has impulse response h[0]=1, h[1]=−1 (zero for every other k). A record of three consecutive samples from the sensor is x[0]=2, x[1]=4, x[2]=2 millivolts (zero for every other k).
((a)) Calculate the output sequence y[k]=x[k]∗h[k] for every k where it is non-zero.
((b)) State which values of y[k] correspond to the sensor reading increasing between samples and which correspond to it decreasing.