The present disclosure generally relates to an uplink control signal design for wireless system. One example method of a subscriber station (SS) includes performing network entry in a multi-carrier wireless environment using a primary carrier, receiving timing information corresponding to the primary carrier, receiving a first control signaling via the primary carrier, the first control signaling assigning at least one secondary carrier, transmitting uplink data via the secondary carrier using an uplink transmission timing of the secondary carrier, the uplink transmission timing of the secondary carrier being assigned the same as an uplink transmission timing of the primary carrier, and determining an adjustment of the uplink transmission timing or frequency of the secondary carrier.