Due　to　R+=(0,infinity)R+=(0,infinity)　not　being　a　group　under　addition,　L2(R+)L2(R+)　admits　no　traditional　wavelet　or　Gabor　frames.　This　paper　addresses　a　class　of　modulation-dilation　frames　(MDMD-frames)　for　L2(R+)L2(R+).　We　obtain　a　theta-transform　matrix-based　expression　of　adding　generators　to　generate　MD-tight　frames　from　a　MDMD-Bessel　sequences　in　L2(R+)L2(R+);　and　present　criteria　on　Phi　Phi　with　MD(Psi　boolean　OR　Phi,a,b)MD(Psi　boolean　OR　Phi,a,b)　being　a　Parseval　frame　(an　orthonormal　basis)　for　an　arbitrary　Parseval　frame　sequence　(an　orthonormal　sequence)　MD(Psi,a,b)MD(Psi,a,b)　in　L2(R+)L2(R+).　Some　examples　are　also　presented.