Table 1.

Frames under study

Label	Name	$ℝ$ or $ℂ$	Natural $\gamma$	Tight frame	Equiangular	Refs.
Deterministic frames
DSS	Difference set spectrum	$ℂ$		Yes	Yes	36
GF	Grassmannian frame	$ℂ$	$1/2$	Yes	Yes	37, corollary 2.6b
RealPF	Real Paley’s construction	$ℝ$	$1/2$	Yes	Yes	37, corollary 2.6a
ComplexPF	Complex Paley’s construction	$ℂ$	$1/2$	Yes	Yes	38
Alltop	Quadratic Phase Chirp	$ℂ$	$1/L$	Yes	No	26, equation S4
SS	Spikes and Sines	$ℂ$	$1/2$	Yes	No	6
SH	Spikes and Hadamard	$ℝ$	$1/2$	Yes	No	6
Random frames
HAAR	Unitary Haar frame	$ℂ$		Yes	No	3, 4
RealHAAR	Orthogonal Haar frame	$ℝ$		Yes	No	4
RandDFT	Random Fourier transform	$ℂ$		Yes	No	3
RandDCT	Random Cosine transform	$ℝ$		Yes	No