  This paper explores the design of constant modulus Matched-Illumination (MI)
waveforms using the Multi-Tone Sinusoidal Frequency Modulation (MTSFM) waveform
model. MI waveforms are optimized for detecting targets in known noise and
clutter Power Spectral Densities (PSDs). There exist well-defined information
theoretic methods that describe the design of MI waveforms for a myriad of
target/noise/clutter models. However, these methods generally only produce the
magnitude square of the MI waveform's spectrum. Additionally, the waveform's
time-series is not guaranteed to be constant modulus. The MTSFM is a constant
modulus waveform model with a discrete set of design coefficients. The
coefficients are adjusted to synthesize constant modulus waveforms that
approximate the ideal MI waveform's spectrum. Simulations demonstrate that the
MTSFM's detection performance closely approximates an ideal MI waveform
spectrum and generally outperforms flat spectrum waveforms across a range of
transmit energies when the noise and clutter PSDs vary greatly across the
operational band.
