Formulas

Digital Filter Design
Summary
The Digital Filter Design tool for the dsPIC®16-bit Digital Signal Controllers makes designing, analyzing and implementing Finite Impulse Response (FIR) and InfiniteImpulse Response (IIR) digital filters easy through a menudriven and user intuitive interface. The filter design tool performs complex mathematical computations for filter design, provides superiorgraphical displays and generates comprehensive design reports. Desired filter frequency specifications are entered and the tool automatically generates the filter code and coefficient files ready to usein the MPLAB® Integrated Development Environment (IDE). System analysis of the filter transfer function is supported with multiple generated graphs such as: magnitude, phase, group delay, logmagnitude, impulse response and pole/zero locations.

Features
Key features of the Digital Filter Design tool include: Finite Impulse Response Filter Design · Design Method Selection – FIR Windows Design –FIR Equiripple Design (Parks-McClellan) · Lowpass, Highpass, Bandpass and Bandstop filters · FIR filters can have up to 513 taps · Following window functions are supported: – Rectangular – Hanning(Hann) – Hamming – Triangular – Blackman – Exact Blackman – 3 Term Cosine – 3 Term Cosine with continuous 3rd Derivative – Minimum 3 Term Cosine – 4 Term Cosine – 4 Term Cosine with continuous 5thDerivative – Minimum 4 Term Cosine – Good 4 Term Blackman Harris – Harris Flat Top – Kaiser – Dolph-Tschebyscheff – Taylor – Gaussian · Reports show design details such as window coefficients and ImpulseResponse prior to multiplying by the window function Infinite Impulse Response Filter Design · Lowpass, Highpass, Bandpass and Bandstop Filters · Filter orders up to 10 for Lowpass and Highpass Filters· Filter orders up to 20 for Bandpass and Bandstop Filters · Five Analog Prototype Filters are available: – Butterworth – Tschebyscheff – Inverse Tschebyscheff – Elliptic – Bessel · Digital...