Ucsd Ece 255

نویسنده

  • Young-Han Kim
چکیده

[1] J. P. M. Schalkwijk, “The binary multiplying channel—A coding scheme that operates beyond Shannon’s inner bound region,” IEEE Trans. Inf. Theory, vol. 28, pp. 107–110, January 1982. [2] J. P. M. Schalkwijk, “On an extension of an achievable rate region for the binary multiplying channel,” IEEE Trans. Inf. Theory, vol. 29, pp. 445–448, May 1983. [3] Z. Zhang, T. Berger, and J. P. M. Schalkwijk, “New outer bounds to capacity regions of two-way channels,” IEEE Trans. Inf. Theory, vol. 32, pp. 383–386, May 1986. [4] A. P. Hekstra and F. M. J. Willems, “Dependence balance bounds for single-output two-way channels,” IEEE Trans. Inf. Theory, vol. 35, pp. 44–53, May 1986. [5] H. B. Meeuwissen, J. P. M. Schalkwijk, and A. H. A. Bloemen, “An extension of the achievable rate region of Schalkwijk’s 1983 coding strategy for the binary multiplying channel,” in Proc. IEEE Int. Symp. Inf. Theory, Whistler, BC, September 1995, p. 445. [6] H. B. Meeuwissen, Information theoretic aspects of two-way communication, Ph.D. thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands, 1998. [7] E. Ardestanizadeh, Feedback communication systems: Fundamental limits and controltheoretic approach, Ph.D. thesis, University of California, San Diego, La Jolla, CA.

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UCSD ECE 255 C Handout

Since the supremum is taken over a bigger set as B increases, C(B) is nondecreasing for B ≥ 0. To prove the concavity, let B1 and B2 be two cost constraints. Suppose that R1 is achievable under B1 and R2 is achievable under B2 i.e. R1 ≤ C(B1) and R2 ≤ C(B2). Let k = ⌊αn⌋, k ′ = n − k and α ∈ [0, 1]. We can construct a code by using a (21 , k) code for the first k transmissions and a (2 ′R2 , k)...

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تاریخ انتشار 2014