Frequency/Noise Filters

Write a brief description of frequency/noise filters such as: Low-pass, High-pass filter, Band-pass filter, Band-stop filter, Notch filter, comb filter, and All-pass filter. Then write when to use a certain filter to resolve an application noise issue and what would that noise application issue be? Find numerous examples to show why filtering and filters are the right choice. Provide circuit designs and formulas if possible.