|
|
EDA365欢迎您登录！
您需要 登录 才可以下载或查看，没有帐号？注册
x
Abstract! g3 ?7 D4 c3 ?, U3 c0 y
The generalized S transform (GST), a family of reversible integer-to-integer transforms inspired by the S transform, is/ T/ C" x1 s/ C: p7 c [' r- X; j u/ E
proposed. This family of transforms is then studied in detail, by considering topics such as GST parameter calculation, the
2 [9 G3 X% ]$ Z+ V3 O+ S/ Neffects of using different rounding operators in the GST, and the relationship between the GST and the lifting scheme. Some
) R' |. x. ^ p, N$ Z1 h Hexamples of specific transforms in the GST family are also given. In particular, a new transform in this family is introduced,
0 R6 d1 H, M6 d* V5 p0 Rand its practical utility demonstrated.2 B6 p. I, o2 _7 N. I; D/ e9 G
I. I NTRODUCTION
1 k2 R4 y8 e6 v! k& j5 XReversible integer-to-integer transforms have become a popular tool for use in signal coding applications requir-
" w5 x2 f. u) a1 k# U- A- e. j5 Qing lossless signal reproduction [1–5]. One of the best known transforms of this type is the S transform [3,4,6]. In
' b" b- ^6 [ F7 |4 E" u/ b% ]this manuscript, we propose the generalized S transform (GST), a family of reversible integer-to-integer transforms
, F& P' K0 c9 V: J0 ybased on the key ideas behind the S transform. We then study the GST in some detail. This leads to a number of
7 S9 R+ u9 Z9 Z2 F/ Winteresting insights about transforms belonging to the GST family (including the S transform amongst others) and
' |+ q. Q+ a; O# w3 M4 y1 Sreversible integer-to-integer transforms in general.* k$ @# }2 T, S( }
The remainder of this manuscript is structured as follows. We begin, in Section II, with a brief discussion of6 a/ }' {* J) L- b/ b
the notation and terminology used herein. The S transform is then introduced in Section III, and the GST family7 x+ G3 w- A4 d
of transforms is defi ned in Section IV. Sections V and VI proceed to examine GST parameter calculation and
7 C L" c- H( E0 o0 X9 K; c; ^. y. gthe effects of using different rounding operators in the GST. Some examples of well known transforms belonging
0 a4 _) ^& E |9 e* c% Oto the GST family are given in Section VII, and in Section VIII, we present a new GST-based transform, and# n7 l5 t6 j" C& N" h
demonstrate its utility for image coding applications. Finally, we conclude in Section IX with a summary of our
; d: J8 G& N# Y# B" v2 A% V& dresults and some closing remarks.
% f+ `* \: J. X/ _II. N OTATION AND T ERMINOLOGY; F9 P2 C8 Q) b7 \
1 D a! c8 x9 U' v- E0 m" P$ q; K
0 [' [$ k# a2 |; z5 N
7 D* U( a U" b; Q4 I
+ { ^- X4 y, Z4 k$ d2 d; H |
|
/1 
发表于 2020-2-27 17:57
收藏
淘帖
支持！
反对！