Supplemental Technical NotesEach of the technical notes below either expands on an existing topic in Fundamentals of Radar Signal Processing, extends or provides more detail on an existing topic in FRSP, or just explores a topic the author found interesting or was asked about by a student. The notes are listed in (very) roughly chronological order, with the most recent at the top of the list. |

- Doppler Shift in Radar

(The discussion of Doppler shift was shortened and simplified in the third edition. This memo is essentially identical to the more complete description from the second edition. It provides additional detail on the topic to third edition readers.) - Exact and Approximate Detection Probability Formulas in
*Fundamentals of Radar Signal Processing*

(Incorporated into the third edition.) - Spatial and Temporal Frequency
- Virtual Arrays
- The SNR of a Simple Pulse in Noise
- Binary Integration Gain
- Optimum Bandpass Filter Bandwidth for a Rectangular Pulse
- Notes on Noncoherent Integration Gain
- SW2 is the Same as SW3 When
*N*=2 - Alternative Forms of Albersheim's Equation

(Partially incorporated into the second and third editions.) - Keystone Formatting for Range Migration Compensation

(Partially incorporated into the third edition.) - Resampling by DFT Zero Padding
- A Note on Upsampling by Integer Factors Using the DFT
- A Slight Extension to “Coherent Integration Loss Due to White Gaussian Phase Noise”
- Noncoherent Integration Gain and its Approximation
- A Numerical Issue in Computing the Rician and Noncentral Chi-Square PDFs
- Notes on the Billingsley Clutter ICM Model
- Derivation of the Range-Doppler Algorithm Frequency Response

(Incorporated into the third edition, with updates.) - Stepped Frequency Range Profile Parameters
- The DTFT and DFT of Noise
- Relationship Between Gamma, Erlang, Chi-Squared, and Swerling 3 & 4 PDFs

(Incorporated into the second and third editions.) - Discrete-Time Gaussian Fourier Transform Pair, and Generating a Complex Gaussian Random Process with a Gaussian Power Spectrum
- Time-Domain Calculation of MTI Power Gain

(Incorporated into the second and third editions.) - The Rice or Rician Probability Density Function

(Incorporated into the second and third editions.) - Time and Frequency Domain Windowing of Linear FM Pulses

(Incorporated into the second and third editions.) - Generating Swerling Random Sequences